{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-04-01T09:21:31.388684500Z",
     "start_time": "2024-04-01T09:21:29.372601100Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Load data"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "aec4968151b943ff"
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [],
   "source": [
    "# 读取Excel文件\n",
    "excel_file = \"complex_nonlinear_data.xlsx\"  # 将文件路径替换为你的Excel文件路径\n",
    "data_frame = pd.read_excel(excel_file)\n",
    "\n",
    "# 提取第一列和第二列数据\n",
    "first_column = data_frame.iloc[:, 0].values\n",
    "second_column = data_frame.iloc[:, 1].values\n",
    "\n",
    "# 将数据转换为NumPy数组\n",
    "x = np.array(first_column)\n",
    "y = np.array(second_column)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-01T09:21:32.759545700Z",
     "start_time": "2024-04-01T09:21:32.477490700Z"
    }
   },
   "id": "60d3bc3bdb9fb1d9"
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Show data"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "cb40a73a9974e7d6"
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建散点图\n",
    "plt.scatter(x, y)\n",
    "\n",
    "# 添加标题和轴标签\n",
    "plt.title('y-x')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-01T09:21:34.970289200Z",
     "start_time": "2024-04-01T09:21:34.813094400Z"
    }
   },
   "id": "93710e8b2d4292be"
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Train"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "6bda0eda818e7df1"
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           10            9            8            7          6\n",
      "5.167e-06 x  - 0.000194 x + 0.002577 x - 0.009126 x - 0.1175 x\n",
      "          5         4         3        2\n",
      " + 1.535 x - 7.767 x + 19.98 x - 25.3 x + 12.69 x - 1.531\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算多项式回归系数\n",
    "coefs = np.polyfit(x, y, 10)\n",
    "\n",
    "# 使用np.poly1d函数来生成一个多项式拟合对象\n",
    "poly = np.poly1d(coefs)\n",
    "\n",
    "# 生成新的横坐标，使得拟合曲线更加平滑\n",
    "new_x = np.linspace(min(x), max(x), 1000)\n",
    "print(poly)\n",
    "# 绘制拟合曲线\n",
    "plt.scatter(x, y)\n",
    "plt.plot(new_x, poly(new_x), color='red')\n",
    "\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-27T12:04:57.276337500Z",
     "start_time": "2024-03-27T12:04:57.216337700Z"
    }
   },
   "id": "aeaff06aee398c0f"
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Applications\\anaconda3\\envs\\GA\\lib\\site-packages\\openpyxl\\styles\\stylesheet.py:226: UserWarning: Workbook contains no default style, apply openpyxl's default\n",
      "  warn(\"Workbook contains no default style, apply openpyxl's default\")\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 读取Excel文件\n",
    "excel_file = \"new_complex_nonlinear_data.xlsx\"  # 将文件路径替换为你的Excel文件路径\n",
    "data_frame = pd.read_excel(excel_file)\n",
    "\n",
    "# 提取第一列和第二列数据\n",
    "first_column = data_frame.iloc[:, 0].values\n",
    "second_column = data_frame.iloc[:, 1].values\n",
    "\n",
    "# 将数据转换为NumPy数组\n",
    "x_test = np.array(first_column)\n",
    "y_test = np.array(second_column)\n",
    "\n",
    "# 创建散点图\n",
    "plt.scatter(x_test, y_test)\n",
    "\n",
    "# 添加标题和轴标签\n",
    "plt.title('y-x')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-01T09:22:28.018743700Z",
     "start_time": "2024-04-01T09:22:27.939743100Z"
    }
   },
   "id": "41fadf49cc600756"
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           10            9            8            7          6\n",
      "5.167e-06 x  - 0.000194 x + 0.002577 x - 0.009126 x - 0.1175 x\n",
      "          5         4         3        2\n",
      " + 1.535 x - 7.767 x + 19.98 x - 25.3 x + 12.69 x - 1.531\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成新的横坐标，使得拟合曲线更加平滑\n",
    "new_x = np.linspace(min(x_test), max(x_test), 1000)\n",
    "print(poly)\n",
    "# 绘制拟合曲线\n",
    "plt.scatter(x_test, y_test)\n",
    "plt.plot(new_x, poly(new_x), color='red')\n",
    "\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-27T12:18:02.176968200Z",
     "start_time": "2024-03-27T12:18:02.111967300Z"
    }
   },
   "id": "188103d58ae8b7a0"
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Test"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "c86b33e6536c92cd"
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 0.3791517052985716\n"
     ]
    }
   ],
   "source": [
    "mse = 0\n",
    "for i in range(x_test.shape[0]):\n",
    "    mse += (y_test[i]-poly(x_test[i])) ** 2\n",
    "mse /= len(x_test)\n",
    "print(f\"MSE: {mse}\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-27T12:21:29.075274300Z",
     "start_time": "2024-03-27T12:21:29.042049300Z"
    }
   },
   "id": "18a71f3fd5c887a5"
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "mse_list = []\n",
    "for k in range(1, 91, 5): \n",
    "    # 计算多项式回归系数\n",
    "    coefs = np.polyfit(x, y, k)\n",
    "    \n",
    "    # 使用np.poly1d函数来生成一个多项式拟合对象\n",
    "    poly = np.poly1d(coefs)\n",
    "    \n",
    "    # 生成新的横坐标，使得拟合曲线更加平滑\n",
    "    new_x = np.linspace(min(x), max(x), 1000)\n",
    "    print(poly)\n",
    "    # 绘制拟合曲线\n",
    "    plt.scatter(x, y)\n",
    "    plt.scatter(x_test, y_test)\n",
    "    plt.legend(['Training_data','Test_data'])\n",
    "    plt.plot(new_x, poly(new_x), color='red')\n",
    "    plt.title(f'Train-Test Poly={k}')\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel('y')\n",
    "    plt.savefig(f\"poly{k}.png\")\n",
    "    plt.show()\n",
    "    \n",
    "    mse = 0\n",
    "    for i in range(x_test.shape[0]):\n",
    "        mse += (y_test[i]-poly(x_test[i])) ** 2\n",
    "    mse /= len(x_test)\n",
    "    mse_list.append(mse)\n",
    "    print(f\"poly: {k}\\tMSE: {mse}\")"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "582d11f6e8affa42"
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_axis = [i for i in range(1, len(mse_list)+1)]\n",
    "plt.plot(x_axis, mse_list)\n",
    "plt.title(f'MSE-Poly_order')\n",
    "plt.xlabel('Poly Order')\n",
    "plt.ylabel('MSE')\n",
    "plt.savefig(f\"MSE-Poly.png\")\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-27T13:18:36.960045100Z",
     "start_time": "2024-03-27T13:18:36.873256400Z"
    }
   },
   "id": "7dda0cfdaf93c626"
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Decision Tree Regression"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "fcdc3d3e9ac338e0"
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.3732740921232223\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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BgH3ooYdkn3v88cdZAOzOnTtZlmXZ2tpa9j//+Q/bu3dvVq1Ws8HBwWy/fv3YRYsWscXFxcLrysvL2XvuuYcNCQlh/fz82HHjxrH79u1jAbAZGRnCOD6b7PLly7Lv//HHH7NXX3016+/vz/r6+rI9evRg77rrLiHL7eTJk+yMGTPYHj16sL6+vmxwcDA7dOhQNjMzU9jG999/z06cOJHt0qWLcLxOmjSJ3bVrlzBGLpuMZVl2165d7NixY4X3HzZsGLt161bJGEu/If97b9++3cI3T6E4H1qBmkKhUNyYL774AnfccQf+/PNPDB8+vL13h0LpkFAxRKFQKG7Chg0bUFRUhH79+kGhUGDfvn149dVXMWjQoDZv70GhdCZozBCFQqG4CYGBgfjyyy/xwgsvoK6uDrGxsZg9ezZeeOGF9t41CqVDQy1DFAqFQqFQOjW06CKFQqFQKJRODRVDFAqFQqFQOjVUDFEoFAqFQunU0ABqGxgMBly8eBGBgYG0WBiFQqFQKB4Cy7KoqalBXFyczaKlVAzZ4OLFi0hISGjv3aBQKBQKhdICzp8/b7OZNRVDNggMDATAfZlBQUHtvDcUCoVCoVDsobq6GgkJCcJ93BpUDNmAd40FBQVRMUShUCgUiodhT4gLDaCmUCgUCoXSqaFiiEKhUCgUSqeGiiEKhUKhUCidGo+JGVq9ejWysrJw8uRJ+Pr6Yvjw4Xj55ZfRu3dvq6/buXMnFi9ejBMnTiAuLg5Lly7F3Llznb5/er0ezc3NTt8uhUKiVqttpohSKBQKxTE8Rgzt3LkTDz30EK666irodDo89dRTuP7665Gbmwt/f3/Z1+Tn52PSpEmYM2cO1q9fjz///BPz589HZGQkbr31VqfsF8uyKC4uRmVlpVO2R6FYQ6FQICkpCWq1ur13hUKhUDoMHtuo9fLly4iKisLOnTsxatQo2THLli3Dd999h7y8PGHd3LlzcfToUezdu9eu96murkZwcDCqqqpks8k0Gg0qKysRFRUFPz8/WpiR4jL4AqAqlQpdu3alxxqFQqFYwdb9m8RjLEOmVFVVAQDCwsIsjtm7dy+uv/56ybrx48fjo48+QnNzM1QqldlrtFottFqt8Li6utri9vV6vSCEwsPDHf0IFIrDREZG4uLFi9DpdLLHL4VCoVAcxyODD1iWxeLFizFixAikpqZaHFdcXIzo6GjJuujoaOh0OpSWlsq+ZvXq1QgODhb+rFWf5mOE/Pz8WvApKBTH4d1jer2+nfeEQqFQOg4eKYYefvhhHDt2DBs2bLA51tSVwHsFLbkYli9fjqqqKuHv/PnzDr8HheIq6LFGoVAozsfj3GSPPPIIvvvuO/zxxx82e43ExMSguLhYsq6kpAReXl4W3Vre3t7w9vZ22v5SKBQKpeOjN7A4kF+OkppGRAX6YGhSGJQKxycvztoOxTE8RgyxLItHHnkE33zzDXbs2IGkpCSbr0lLS8PWrVsl67Zt24YhQ4bQeAsPIDMzEwsXLmyTTL3Zs2ejsrISW7Zscfl7USiUjkX2cQ1Wbs2FpqpRWBcb7IMVk1MwITW2zbfjKegNeuwq3AVNjQaxgbEY2XUklAplu+yLx7jJHnroIaxfvx5ffPEFAgMDUVxcjOLiYjQ0NAhjli9fjrvuukt4PHfuXJw7dw6LFy9GXl4ePv74Y3z00UdYsmRJe3wEihtQUFAAhmFw5MgRl7/Xiy++iOHDh8PPzw8hISGyYwoLCzF58mT4+/sjIiICjz76KJqamly+bxQKxTlkH9dg3vrDEgEDAMVVjZi3/jCyj2vadDueQlZeFhIzEpG+Lh0zs2YifV06EjMSkZWX1S774zFi6N1330VVVRXGjBmD2NhY4W/jxo3CGI1Gg8LCQuFxUlISfvzxR+zYsQMDBw7E888/jzfeeMNpNYYoFGs0NTXhtttuw7x582Sf1+v1uOGGG1BXV4fdu3fjyy+/xNdff43HHnusjfeUQqG0BL2BxcqtueDr0/RoPI++9f8CgLBu5dZc6A3WK9iYbafhPG4q3wFvg9ah7XgKWXlZmLZpGi5UX5CsL6ouwrRN09pFEHmMGGJZVvZv9uzZwpjMzEzs2LFD8rrRo0fj8OHD0Gq1yM/Pd0n1aU9kzJgxeOSRR7Bw4UKEhoYiOjoaH3zwAerq6nDPPfcgMDAQPXr0wE8//QSAu3Hfd999SEpKgq+vL3r37o2MjAxhe42Njejbty8eeOABYV1+fj6Cg4Oxdu1au/YpMzMTXbt2hZ+fH2655RaUlZWZjdm6dSsGDx4MHx8fdO/eHStXroROpxOeZxgG7777LiZOnAhfX18kJSXhq6++Ep7n3auDBg0CwzAYM2aMZPuvvfYaYmNjER4ejoceeqhVVcVXrlyJRYsWoV+/frLPb9u2Dbm5uVi/fj0GDRqE6667Dq+//jrWrl1rtaQDhUJxDw7klwuWnG6N57Etdz5+OLkQA+q+BQs9WACaqkYcyC+3ezs+hkZ89c8yvFHwGuYXbwYAu7fjCegNeizIXgAW5sKOX7cweyH0hrbNmPUYMURxPuvWrUNERAQOHDiARx55BPPmzcNtt92G4cOH4/Dhwxg/fjxmzZqF+vp6GAwGxMfHY9OmTcjNzcUzzzyDJ598Eps2bQIA+Pj44PPPP8e6deuwZcsW6PV6zJo1C+np6ZgzZ47Nfdm/fz/uvfdezJ8/H0eOHEF6ejpeeOEFyZiff/4Zd955Jx599FHk5ubi/fffR2ZmJl588UXJuKeffhq33norjh49ijvvvBMzZswQCm8eOHAAAPDrr79Co9EgK0ucgWzfvh1nzpzB9u3bsW7dOmRmZiIzM1N4fu7cuQgICLD6R1ombbF3716kpqYiLi5OWDd+/HhotVr89ddfdm+HQqG0DyU1nICpV+xBd+3jUBpv5n0b1qLI+z7UK/ZIxtnaDgB01RYjTM9NhgbX5Voc56nsKtxlZhEiYcHifPV57Crc1YZ75UEB1B7FQ0OAimLb45xJaAzw9iGHXjJgwAD85z//AcDFW7300kuIiIgQxMszzzyDd999F8eOHcOwYcOwcuVK4bVJSUnYs2cPNm3ahOnTpwMABg4ciBdeeAFz5szBjBkzcObMGbsDkjMyMjB+/Hg88cQTAIBevXphz549yM7OFsa8+OKLeOKJJ3D33XcDALp3747nn38eS5cuxYoVK4Rxt912G+6//34AwPPPP49ffvkFb775Jt555x1ERkYCAMLDwxETEyPZh9DQULz11ltQKpXo06cPbrjhBvz222/C9/Hcc8/ZjDcjhY0t5OpghYaGQq1Wm2VBUigU9yMq0Af1ij24rF6FYMKQEaIH9EwpLqtXIbLpSUQFDrO5HZ5wnWgVjm0qtTjOU9HU2Bf7ZO84Z0HFkCuoKAZKi9p7L2zSv39/YVmpVCI8PFzi0uFv1CUlJQCA9957Dx9++CHOnTuHhoYGNDU1YeDAgZJtPvbYY/j222/x5ptv4qeffkJERIRd+5KXl4dbbrlFsi4tLU0ihv766y8cPHhQYgnS6/VobGxEfX29UPwyLS3NbDv2BEz37dsXSqWYyRAbG4u///5beBwVFYWoqCi7Po+9yNUNYlmW1hOiUDyAwd2CUeX9AcByAognVAeAAcACVd5rMbjbSkubAAAMTQpDbLAPiqsaEUqIobimUsB4PYgJ5tLsPZ3YQPuy4uwd5yyoGHIFoTG2x7jBe5qWF2AYRrKOvyEbDAZs2rQJixYtwuuvv460tDQEBgbi1Vdfxf79+yXbKCkpwalTp6BUKnH69GlMmDDBrn2xp0WewWDAypUrMXXqVLPnfHysz5jsERdy34fBYBAez507F+vXr7e6jdzcXHTt2tXmewFcHSzT76+iogLNzc1mFiMKheJ+7LmwG00oBRggRAxdFJcZoAmXsefCboxJHGNxO0oFgxWTUzBv/WGE66qE9b6sFqH6GlR6BWHF5JQOUW9oZNeRiA+KR1F1kWzcEAMG8UHxGNl1ZJvuFxVDrsBBd5UnsGvXLgwfPhzz588X1p05c8Zs3L333ovU1FTMmTMH9913H6699lqkpKTY3H5KSgr27dsnWWf6+Morr8SpU6fQs2dPq9vat2+fpMTCvn37MGjQIACta2fhbDdZWloaXnzxRWg0GsTGcrOgbdu2wdvbG4MHD3Z4/ygUSttCunJCCTFELpuOs8SE1Fi8e+eVOP/GV5L1/dTVmDlzTIepM6RUKJExIQPTNk0DA0YiiBhwYm/NhDVtXm+IiiGKXfTs2ROffvopfv75ZyQlJeGzzz7DwYMHJcUv3377bezduxfHjh1DQkICfvrpJ9xxxx3Yv3+/IEIs8eijj2L48OF45ZVXcPPNN2Pbtm0SFxnAxTDdeOONSEhIwG233QaFQoFjx47h77//lgRbf/XVVxgyZAhGjBiBzz//HAcOHMBHH30EgHN1+fr6Ijs7G/Hx8fDx8UFwcLBd34GjbrLCwkKUl5ejsLAQer1ecNX17NkTAQEBuP7665GSkoJZs2bh1VdfRXl5OZYsWYI5c+bY7LBMoVDaH9KVQ7rJQnSWx1ljQmosDP0DgAJx3Sc3xEDZQYQQz9Tkqdg8fTMWZC+QBFPHB8VjzYQ1mJpsbv13NTSbjGIXc+fOxdSpU3H77bfj6quvRllZmcRKdPLkSTz++ON45513hOa2b7/9NiorK/H000/b3P6wYcPw4Ycf4s0338TAgQOxbds2IbibZ/z48fj+++/xyy+/4KqrrsKwYcPw3//+F926dZOMW7lyJb788kv0798f69atw+effy5Yp7y8vPDGG2/g/fffR1xcHKZMmdLar8YizzzzDAYNGoQVK1agtrYWgwYNwqBBg3DoEGc5VCqV+OGHH+Dj44NrrrkG06dPx80334zXXnvNZftEoVCcB+/yYcBILUNGYcSAQUJQgkMuH0W1tKSIssxy5pUnMzV5KgoWFGD73dvxxdQvsP3u7chfkN8uQggAGNaeYI1OTHV1NYKDg1FVVWU2W29sbER+fj6SkpJsxqxQ2gaGYfDNN9/g5ptvbu9dcQn0mKNQ3Au+gOCRHBb967l1ZV5A5NWcy2fz9M2O3eCXXQfk/CY+vn0ZcN9LTtzjzoO1+7cp1DJEoVAoFEoL4V0+EQYxxiVEB8QHdnFcCAFA1WXp45LzTthLii2oGKK0CRMnTrRYqHDVqlXtvXsUCoXSYqYmT0Us4ys8VgLIn3OsZS6fKmltIVymYqgtoAHUlDbhww8/lDTVJQkLc17tDOr1pVAobY6uGUxDrWSVsqEGCAx1bDssa24ZomKoTaBiiNImdOnSpb13gUKhUFxDXZX5upoKIMq+mmMC9TWAzqQfYlkRYDAACurIcSX026VQKBQKpTXUVpqvq5NZZwtTqxDAiaOKS45vi+IQVAxRKBQKhdIaaivM19XIrLOFabwQD3WVuRwqhigUCoVCaQ2usAx5+4nLVAy5HCqGKBQKhUJpDXKWITmBZAtSDPUYIC5TMeRyqBiiUCgUCqU1yAkfOYFkC9JN1mOQuEzFkMuhYojSahITE7FmzRq7x+/YsQMMw6CystJl+2QPY8aMwcKFC9t1HygUSgfAFZahnleKy1QMuRwqhjopzhQCBw8exAMPPGD3+OHDh0Oj0djdINVdcBcRR6FQ3AxnWYaqScvQQHGZiiGXQ+sMuQF6A4sD+eUoqWlEVKAPhiaFQalg2nWfWJaFXq+Hl5ftQyQyMtKhbavVasTExLR01ygUCsW9cJZlqJKwDEXGAyFRQGUJFUNtALUMtTPZxzUY8fLvmLF2HxZ8eQQz1u7DiJd/R/Zxjcvec/bs2di5cycyMjLAMAwYhkFmZiYYhsHPP/+MIUOGwNvbG7t27cKZM2cwZcoUREdHIyAgAFdddRV+/fVXyfZM3WQMw+DDDz/ELbfcAj8/P1xxxRX47rvvhOdNLSyZmZkICQnBzz//jOTkZAQEBGDChAnQaMTvQKfT4dFHH0VISAjCw8OxbNky3H333XY3ZK2rq8Ndd92FgIAAxMbG4vXXXzcbs379egwZMgSBgYGIiYnBzJkzUVJSAgAoKChAeno6ACA0NBQMw2D27NkAgOzsbIwYMULYtxtvvBFnzpyxa78oFEoHQNYyJLPOFqRlKDAMiEzglss1gF7Xkj2j2AkVQ+1I9nEN5q0/DE1Vo2R9cVUj5q0/7DJBlJGRgbS0NMyZMwcajQYajQYJCdxJt3TpUqxevRp5eXno378/amtrMWnSJPz666/IycnB+PHjMXnyZBQWFlp9j5UrV2L69Ok4duwYJk2ahDvuuAPl5eUWx9fX1+O1117DZ599hj/++AOFhYVYsmSJ8PzLL7+Mzz//HJ988gn+/PNPVFdXY8uWLXZ/5scffxzbt2/HN998g23btmHHjh3466+/JGOamprw/PPP4+jRo9iyZQvy8/MFwZOQkICvv/4aAHDq1CloNBpkZGQA4ITW4sWLcfDgQfz2229QKBS45ZZbYDAY7N4/CoXiwcil0bcogNpoGQoMBbxUohgyGICyiy3ePYptqJusndAbWKzcmgu5TlosAAbAyq25GJcS43SXWXBwMNRqNfz8/AR31cmTJwEAzz33HMaNGyeMDQ8Px4ABYornCy+8gG+++QbfffcdHn74YYvvMXv2bMyYMQMAsGrVKrz55ps4cOAAJkyYIDu+ubkZ7733Hnr06AEAePjhh/Hcc88Jz7/55ptYvnw5brnlFgDAW2+9hR9//NGuz1tbW4uPPvoIn376qfDZ1q1bh/j4eMm4e++9V1ju3r073njjDQwdOhS1tbUICAgQeqhFRUUhJCREGHvrrbdKtvPRRx8hKioKubm5SE1NtWsfKZ0XvUGPXYW7oKnRIDYwFiO7joRSobT9Qor7wBdYZBggNBooL26dmywogvvPiyGAc5U52t6DYjfUMtROHMgvN7MIkbAANFWNOJBv2ZriCoYMGSJ5XFdXh6VLlyIlJQUhISEICAjAyZMnbVqG+vfvLyz7+/sjMDBQcDnJ4efnJwghAIiNjRXGV1VV4dKlSxg6dKjwvFKpxODBg+36TGfOnEFTUxPS0tKEdWFhYejdu7dkXE5ODqZMmYJu3bohMDAQY8aMAQCbn/XMmTOYOXMmunfvjqCgICQlJdn1OgolKy8LiRmJSF+XjplZM5G+Lh2JGYnIystq712jOAJvGfIL4txbgOOWoeYmoL6aWw42xmGSYqiExg25EiqG2omSGstCqCXjnIW/v7/k8eOPP46vv/4aL774Inbt2oUjR46gX79+aGpqsrodlUolecwwjFW3kdx40w70DCO1kNnbod6ecXV1dbj++usREBCA9evX4+DBg/jmm28AwOZnnTx5MsrKyrB27Vrs378f+/fvt+t1lM5NVl4Wpm2ahgvVFyTri6qLMG3TNCqIPAneMhQQAviHcMuNdeZNV61BxgvJiSEaRO1SqBhqJ6ICfZw6zlHUajX0er3Ncbt27cLs2bNxyy23oF+/foiJiUFBQYFL9skSwcHBiI6OxoEDB4R1er0eOTk5dr2+Z8+eUKlU2Ldvn7CuoqIC//zzj/D45MmTKC0txUsvvYSRI0eiT58+ZpYstVotvDdPWVkZ8vLy8J///AfXXnstkpOTUVHRglgBSqdCb9BjQfYCsDKOcn7dwuyF0Btsn6OUdoZlRctQQCgX78PjiKuMLLgYbHSTkW4xKoZcChVD7cTQpDDEBvvAUjQQAyA2mEuzdwWJiYnYv38/CgoKUFpaatFq07NnT2RlZeHIkSM4evQoZs6c2S6BwY888ghWr16Nb7/9FqdOncKCBQtQUVFhZi2SIyAgAPfddx8ef/xx/Pbbbzh+/Dhmz54NhUI8/Lt27Qq1Wo0333wTZ8+exXfffYfnn39esp1u3bqBYRh8//33uHz5MmpraxEaGorw8HB88MEH+Pfff/H7779j8eLFTv/8lI7FrsJdZhYhEhYszlefx67CXW24V5QW0VgvWoBIyxDgWH8ysuAitQy1OVQMtRNKBYMVk1MAwEwQ8Y9XTE5xWb2hJUuWQKlUIiUlBZGRkRbjW/73v/8hNDQUw4cPx+TJkzF+/HhceeWVsmNdybJlyzBjxgzcddddSEtLQ0BAAMaPHw8fH/ssZ6+++ipGjRqFm266Cddddx1GjBghiTmKjIxEZmYmvvrqK6SkpOCll17Ca6+9JtlGly5dsHLlSjzxxBOIjo7Gww8/DIVCgS+//BJ//fUXUlNTsWjRIrz66qtO/eyUjoemxr5MUXvHUdoRUvA42zIUHgvwkzYqhlwKw9obeNFJqa6uRnBwMKqqqhAUFCR5rrGxEfn5+UhKSrL7pmxK9nENVm7NlQRTxwb7YMXkFExIjW3VvndkDAYDkpOTMX36dDMLTkfGGcccpf3ZUbAD6evSbY7bfvd2jEkc4/odorSc/OPAg/245fH3AOFdgC9e4B6v+hkYcr192/n2LeDtR7jlx9cB4+7ilmcmAKUXuAKMmy45d987ONbu36bQ1Pp2ZkJqLMalxLhdBWp349y5c9i2bRtGjx4NrVaLt956C/n5+Zg5c2Z77xqF4jAju45EfFA8iqqLZOOGGDCID4rHyK4j22HvKA5hahkKCJV/zhYSN1mEuBxlFEOVJUCTFlB703IMLoCKITdAqWCQ1iO8vXfDrVEoFMjMzMSSJUvAsixSU1Px66+/Ijk5GYWFhUhJSbH42tzcXHTtSutzUNwHpUKJjAkZmLZpGhgwEkHEGB3layasoTc4T4B0hfmHcHFDPDUOJFNUyWSTAca4ob3ccukFZFUdxYLsBZKYs/igeGRMyMDU5KkO7DiFhIohikeQkJCAP//8U/a5uLg4HDlyxOJr4+LiXLRXFErLmZo8FZunb5a9sa2ZsIbe2DwFsp5QYKhUDLU2gBqQBFH/cWg9puWsNLMm8uUYNk/fTI+bFkLFEMXj8fLyQs+ePdt7NygUh5maPBVTek+hLg9Pxswy5MQAakAihrL+yAAbKF+OgQGDhdkLMaX3FHr8tACPyib7448/MHnyZMTFxYFhGJu9qfiGoKZ/fOsJCoVCaW+UCiXGJI7BjH4zMCZxDL2ReRqkZSggRGoZcqQKNW8ZUvsAPkTxW0IM+Vda3h4tx9A6PMoyVFdXhwEDBuCee+4x6wdljVOnTkkiySMjI62MplAoFArFTkjrT2Boyy1DfAXqoAiuxxkPIYYStLY3Q8sxtAyPEkMTJ07ExIkTHX6daWNNCoVCoVCcAmn9MQ2gttcyxLKimyzEZLJOiiE7OvzEBtKSLC3Bo9xkLWXQoEGIjY3Ftddei+3bt1sdq9VqUV1dLfmjUCgUCkUWU8uQX5Bo2bHXMlRbCeh13HKwVAxlX9CjmeHsFglaJWQqMQDgshATghJoOYYW0qHFUGxsLD744AN8/fXXyMrKQu/evXHttdfijz/+sPia1atXIzg4WPhLSEiwOJZCoVAonRxTy5BCAfgHmz9nDbJJa5AYPJ19XIN5XxyBRsWVXumqNTa0NhFEtBxD6+nQYqh3796YM2cOrrzySqSlpeGdd97BDTfcYNZmgWT58uWoqqoS/s6fpyXQ24qCggIwDGM1TZ5CoVDcCt76o1ID3r7cMt+fzF7LUCWRVm90k+kNLFZuzQULQKPm1oXoG5HYsARKNkLy8vigeJpW30o8KmbIGQwbNgzr16+3+Ly3tze8vb3bcI/ahzFjxmDgwIFYs2aNU7Y3e/ZsVFZW2szwczbt9b4UCoUCQKwl5B8iuscCQ4FLBdxzLCsNiJZDxjJ0IL9caNN0USWKn+6NPWBgPoJWcQJ6pgLPTroGc9NupBahVtLpxFBOTg5iY90rwIyWVqdQKBQPha8yTWaR8ZYhXTPX1d7X3+xlEirNCy6W1Ij9Ki+pxQ4FkboKnEECfAz9AQDx/gPp/cIJeJSbrLa2FkeOHBHcKPn5+Thy5IjQcX358uW46667hPFr1qzBli1bcPr0aZw4cQLLly/H119/jYcffrg9dl+WrLwsJGYkIn1dOmZmzUT6unQkZiQiKy/LZe85e/Zs7Ny5ExkZGULtpYKCAuTm5mLSpEkICAhAdHQ0Zs2ahdJSccayefNm9OvXD76+vggPD8d1112Huro6PPvss1i3bh2+/fZbYXs7duywuR8HDhzAoEGD4OPjgyFDhiAnJ0fyvF6vx3333YekpCT4+vqid+/eyMjIEJ639r7Lli1Dr1694Ofnh+7du+Ppp59Gc3OzU74/CoVCAQDo9UC9McmGzCILdLA/WbV5wcWoQLERc7mXWBomVCdN6iHHUVqOR1mGDh06hPR0sdPz4sWLAQB33303MjMzodFoBGEEAE1NTViyZAmKiorg6+uLvn374ocffsCkSZPafN/lyMrLwrRN09q8tHpGRgb++ecfpKam4rnnngPACY/Ro0djzpw5+O9//4uGhgYsW7YM06dPx++//w6NRoMZM2bglVdewS233IKamhrs2rULLMtiyZIlyMvLQ3V1NT755BMAQFhYmNV9qKurw4033oixY8di/fr1yM/Px4IFCyRjDAYD4uPjsWnTJkRERGDPnj144IEHEBsbi+nTp1t938DAQGRmZiIuLg5///035syZg8DAQCxdutTZXyeFQums1FWJy3KWIQAHT23Dvxof61Z/mVYcQ5PCEBvsg+KqRlQQYijMKIYYADHBXGNvSuvxKDE0ZswYsKyFvEIAmZmZksdLly5125uf3qDHguwFsh2rXV1aPTg4GGq1Gn5+foiJiQEAPPPMM7jyyiuxatUqYdzHH3+MhIQE/PPPP6itrYVOp8PUqVPRrVs3AEC/fv2Esb6+vtBqtcL2bPH5559Dr9fj448/hp+fH/r27YsLFy5g3rx5whiVSoWVK1cKj5OSkrBnzx5s2rQJ06dPR0BAgMX3/c9//iMsJyYm4rHHHsPGjRvd9nigUCgeiKRjfYjs8qKse/GnUctYbKgqE0CtVDBYMTkF89YfRoVSahniI5BWTE6BUmEjHoliFx7lJutI7CrcJWnOaEpbl1b/66+/sH37dgQEBAh/ffr0AQCcOXMGAwYMwLXXXot+/frhtttuw9q1a1FR4UCpeRPy8vIwYMAA+Pn5CevS0tLMxr333nsYMmQIIiMjERAQgLVr10qsf5bYvHkzRowYgZiYGAQEBODpp5+263UUCoViNzUmrTiMnGgQq0CH6sQhvNXfLAzCQmr9hNRYvHvnlWCIQoxhumrEBPvg3TuvxIRU94p/9WSoGGon7C2Z3lal1Q0GAyZPnizEZPF/p0+fxqhRo6BUKvHLL7/gp59+QkpKCt5880307t0b+fn5LXo/axY+nk2bNmHRokW49957sW3bNhw5cgT33HMPmpqsl2Hdt28f/u///g8TJ07E999/j5ycHDz11FM2X0ehUCgOIbEMcW4yvUGPDQU/CatDCDHEewIWZi+E3qAXn+DdZAwDBErdXhNSY/He/OuFx5OT1Ni9bCwVQk7Go9xkHQl7S6a7qrS6Wq2GXi+ejFdeeSW+/vprJCYmwstL/rBgGAbXXHMNrrnmGjzzzDPo1q0bvvnmGyxevNhse7ZISUnBZ599hoaGBvj6crU59u3bJxmza9cuDB8+HPPnzxfWnTlzxurnAIA///wT3bp1w1NPPSWsO3funN37RqFQKHYhYxnaVbgL+c2VwmpSDAFSq/+YxDHcSr4VR2AYoDQPi1ASlqFIQw1AXWNOh1qG2omRXUciPiheqBxqiqtLqycmJmL//v0oKChAaWkpHnroIZSXl2PGjBk4cOAAzp49i23btuHee++FXq/H/v37sWrVKhw6dAiFhYXIysrC5cuXkZycLGzv2LFjOHXqFEpLS21mbs2cORMKhQL33XcfcnNz8eOPP5oVw+zZsycOHTqEn3/+Gf/88w+efvppHDx40OxzmL5vz549UVhYiC+//BJnzpzBG2+8gW+++ca5XyCFQqHIWIY0NRpUEvPJUBMxxCOx+vOWoWALTcQDQrjK1oAonChOhYqhdkKpUCJjApcmbiqI2qK0+pIlS6BUKpGSkoLIyEg0NTXhzz//hF6vx/jx45GamooFCxYgODgYCoUCQUFB+OOPPzBp0iT06tUL//nPf/D6668LjXPnzJmD3r17C/E9f/75p9X3DwgIwNatW5Gbm4tBgwbhqaeewssvvywZM3fuXEydOhW33347rr76apSVlUmsRJbed8qUKVi0aBEefvhhDBw4EHv27MHTTz/t3C+QQqFQyArTRstQbGAsKggxFGLBYC5Y/ZsagYZabjk4Qn6wQgEEGmsNVZe1eHcplmFYe4I3OjHV1dUIDg5GVVUVgoKCJM81NjYiPz8fSUlJ8PFpWa2HrLwsLMheIAmmTghKwJoJa2hpdYoZzjjmKBSKk/jkKWCDMQP3pV+AK6+D3qDHuBe64Pfdl7ghUcC9V4gvYcAgPige+Qvyucnu5QvAHcYemNfcAqywUGPu/hSgMA/wDQC+rXHhh+o4WLt/m0JjhtqZqclTMaX3FFqBmkKhUDwNGcuQUqHEkutfAHbPASCNGZK1+svUGJKFzzJrqOWsSWo6GXIm1E3mBigVSoxJHIMZ/WZgTOKYDiGEVq1aJUnTJ/941xqFQqF4NGRXeqLo4qRBdwjLpBiSbahaZV59WhbyOeoqczrUMkRxCXPnzsX06dNln+OzxygUCsWjkbEMAeCsNio10NyEq4J64Iupz1u0+hsqSwSrRH6zH7oaWPlCikT9IVSVAhFdnPUpKKBiiOIiwsLCbLbkoFAoFI+GtAz5B4vLDMNZiiouIaBZhxn9Zsi+PPu4BrlZe7HY+DjjYAX2l/2OFZNTzOsIBYnNWiVFGilOgbrJKBQKhUJpCbxlyC8QUJrYFvj+ZDXylfqzj2swb/1heNWIwqZcFYTiqkbMW38Y2cdNCu4Gm1iGKE6FiiEnYDAY2nsXKJ0EmvxJobgRvGWIaMwqwHeur6/mutsT6A0sVm7NBQux8SoAlHkFC90qV27Nhd5AnO+km4xahpwOdZO1ArVaDYVCgYsXLyIyMhJqtRoMQyuDUlwDy7K4fPkyGIaBSqVq792hUCi8ZSgw1Pw5UiDVVQFBYtjAgfxyaKoaAQDxTSXC+nIvztXGAtBUNeJAfjnSehjdYzSA2qVQMdQKFAoFkpKSoNFocPHixfbeHUongGEYxMfHQylTsp9CobQhTY1As5ZblrMMkQHVdZUSMVRSwwkhtaEZQ2uPc+u8QqFRSbPJ+HEAzAOoKU6FiqFWolar0bVrV+h0Ood6c1EoLUGlUlEhRKG4AzXyafWy68isMwBRgVyNoCG1J+Bn4ATVH0FXcoHXMuMAmFiGzMWQ3qCn9epaARVDToB3W1DXBYVCoXQSJH3JQsyfJ9fVSoOohyaFITbYB6MvHBbW7Qy6UlhmAMQE+2BoEpGRayWAWq6TQXxQPDImZNBOBnZCA6gpFAqFQnGUVliGlAoGKyanYHQ1J4YMYLAraBAACJ0qV0xOEeoN6Q167Cg5DIPR0sMSYigrLwvTNk2TCCEAKKouwrRN05CVZ6G9B0UCFUMUCoVCoThKKyxDADAhlkWfxgIAwDG/nqj04npnRQepMG98IyrYHdhRsAObT2xGYkYi0j8di0tKLhTjYtExZOVlQW/QY0H2ArAwzzLl1y3MXgi9gYZw2IK6ySgUCoVCcZRWWIYAAId+FhYjxtyEjDEDkVvxK97J+Q+W/XHBfDyAMhUQ2wyENukxbdM0PDvmWTOLEAkLFuerz2NX4S6MSRxj4wN1bqgYolAoFArFURyyDFWaP0+Iofhxt+CAYj+e+uMeWSsPT6nxju1nAHz1LDL2Z9i1q5oaje1BnRwqhigUCoVCcRSJZSjE/HlrbjK9Hjj8C7fsHwx9ryFY8FZPq0IIAEqJHJ0wHXChodyuXY0NjLU9qJNDxRCFQqFQKI4isQw56Cb75xBQYxQyg67DrqK9Vt1dPKXEHTuiGbjgDYT5hqGioUJWSDFgEB8Uj5FdR9rcdmvx9NR+KoYoFA/F0y8+FIqnojewKL1YjGj+sV8wzM48wjJ06aIGZ8+UYWhSGJch9pfoIsNVE+x2Y5GWoQgd93/B1Qvw7I5nwYCRCCLGmJe2ZsIal18XOkJqP80m6wToDSz2ninDt0eKsPdMmbTfDcUjycrL4jJM1qVjZtZMpK9LR2JGIk2jpVBcTPZxDUa8/DsO5+YL6275NNesserP+fXC8oULGsxYuw8jXv6dG3coWxw4eLzdbixSDEU2AwlBCXhq5FPYPH0zugR1kYyND4rH5umbXS5GOkpqP7UMdXCyj2uwcmuu0AcHAGKDfbBicgompFI/sifCX3xMzeL8xactLoAUSmeE7zTPAgjS1wrrz9R7Yd76w3j3zisxITWWG7fhGI4pfBFoaECwjhurqWrE0sw/cH3efigAsF2TwUQlYKQhDvFB8SiqLrIrgBrg3GS81Wdq8lRM6T2lzS3FtlL7GTBYmL0QU3pPcXurNbUMdWD4E5cUQgBQXNWIeesPm81kKO4PrStCobQPZKd5AAjW1QEAmqFEnYJrm7Fyay6adAZhXJVXAAAgSF8nbGdEzREoWAMA4EtDCrKPa6BUKJExgcsMY2C52TdpGZrX6zbJpEepUGJM4hjM6DcDYxLHtIn42FW4y+7UfneHiqEOiuTEZVlcWZuHHo3nAUA4mVduzaUuMw+jI118KBRPguw0DwDBRstQtZc/wDBCp/nP9hYI42qU/gCAKF0F1p9+CuMq9yG96pCwjWyf/sLEdGryVFl3V0JQAjZN24Ttd2/HonHPC+uT1ZGu+qh2Y2+skyek9lM3WQeFPHHHVB9C5pmV0DJeuDblfVzwjhZO3AP55UjrEd6+O0uxm4508aFQPAlJB3kAYboqAEClMkiy/ly5GCuU49cbyQ0FAIARNUcxouao8Fwjo8a+gFQA3MR0XEqMbXeXdzcAT3PLMs1a2xp7Y508IbWfiqEOCnniXll3EgDgzepwTc0RbPQeLzuO4v50pIsPheJJkB3k/fQN8Ddw184SlTStvluYn7D8bMJc/OvbFXdd/h6JWukEZX9gKrQKbwDSiSnv7pJF0rm+TPKU3sDiQH45SmoaERXoI2auuZCRXUdajXUyTe03zYAdHj8Cf52ratN9tgQVQx0U8sTlT1oAuKKx0OI4ivvj6MWHQqE4B77TfHFVIyKbxSKKJSquszzfaX5WWiI+3J2P4qpGNClU+DhqCj6JnIzR1X9h9uXvMab6LwDA12FjJdu3a2LqGwCo1EBzk6RzfXslyvCxTtM2TbOZ2i+Xfq9GBIK1D8DPMLzN9tkSNGaog8KfuAy4WQxPrwZODDHgDryhSWHts4OUFmEt0LIt64pQKJ0NvtM8AETrxMrPl1Uhkk7zai+FMI5fzzIK7Ai+CrN7rsSIvh9hYp838F3YGO456NGoOIYjpT9gR8EO68kPDAMEGa1DRjdZeyfKWIp1IlP7LaXfN7GluKxehXrFnjbdZzmoGOqgkCeuqWWIPHHbyyRJaTn2XHwoFIrzmZAai3fvvBJXqMTssMteoYgJ9hHS6slxMcHmlvcL3tHI8+sOAKhX7EGR93245P0knv3zQfvqhfGusqpS6PUGSaJMetVBXFV7HEDbJspMTZ6KggUF2H73dnwx9Qtsv3s78hfkY2ryVKsZsGCAO0uA+0vWILapuF2Te6ibrAPDn5CBL2qFdbHNZejhr8OSW4bSOkMeTHvVFaFQOjsTUmNx/agI4AT3eNq4q7B0xlizieWE1FiMS4nBgfxy/JJbjI//LAADUaTUK/bgsnqV2fZt1gvjLUPNWhw6eV6wCF1XdQAfnuWyza5Pfgv/+Ca2aaKMpVgnWxmwSy4CA+rrYcAcpKV+gkvqiHZJ7vEoy9Aff/yByZMnIy4uDgzDYMuWLTZfs3PnTgwePBg+Pj7o3r073nvvPdfvqBsxITUWw+Oks5Ofb4mkQqgD0B51RSgUCqCovCQsX9HnCosWdqWCQVqPcDwzuS/eIyxFLPQoV33A+dFMXmqzXhgRRF11SXQnja06ICwPqjsleUl7JspYy2ztVwcMMCbf/eUfg0tq8bO19T57lBiqq6vDgAED8NZbb9k1Pj8/H5MmTcLIkSORk5ODJ598Eo8++ii+/vprF++pe8E01koeK8/nttOeUCgUSgegnLjBh8XY9ZIJqbHYvWwsNswZhjnXaaFXWE6Nt1ovLEgUDDEQr+0D6/8R1zdLM83aM1HGWmbrHZfF5azwIZLn2nqfPcpNNnHiREycONHu8e+99x66du2KNWvWAACSk5Nx6NAhvPbaa7j11ltdtJduSINUDOEcFUMUCoXSYsqLxeVQ+8QQIFqKCup1do2XtaoEia6jvgHNiA32QWVFJXo1nBPWRzdxYojPcGvPRBlLGbAMK4qhZgbIDr6NW4/22WePsgw5yt69e3H99ddL1o0fPx6HDh1Cc3Oz7Gu0Wi2qq6slfx5Po6kYOtE++0GhUCgdgQqjGFJ6ScSJvbSqXhhhGVLWlGPF5BT0rT8LLxiE9THNZW6TKGMpA3Z0FRDfxC3/HtQTFaqwdt3nDi2GiouLER0dLVkXHR0NnU6H0lJ5E+Xq1asRHBws/CUkJLTFrroWM8sQFUMUCoXSYnjLUGg0oHD8NspbSyz1IWPAICEoQb5emKTwYikmpMbi+eR6yZCY5jKzDLf2RC4D9k7CRbY1lAsUb8999ig3WUtgGOnBxrKs7Hqe5cuXY/HixcLj6upqzxZELGsuhkqLgLoqwD+4ffaJQqFQPBW9Hqgs4ZYdcJGROFKs0AzCMsQXXkyulgZMX6Gsxu5l5hlu7QmZAXup/BxuffYhAHXQ+QRgwv1zcEd4KK1A7SpiYmJQXFwsWVdSUgIvLy+Eh8ubNr29veHt7d0Wu9c2NGsBuYyEc7lASlrb7w+lxbRHuX0KhWJCdal4TbUzeFoO3lpiWpU5PigeayassVwvzMQyBAA4dUAyRFVbBn1TA3YUH3Cr0htC+n3hZqCRq9XkNfJW3Di0Z7vuF9DBxVBaWhq2bt0qWbdt2zYMGTIEKpWqnfaqjTG1CvGcO0HFkAfRXuX2KRSKCS0MnpajRfXCgk0sQ9VlwMUzZsNGvt4De3XivsYHxSNjQoZ7FGX9bb24fO2d7bcfBB4VM1RbW4sjR47gyJEjALjU+SNHjqCwkGsxsXz5ctx1113C+Llz5+LcuXNYvHgx8vLy8PHHH+Ojjz7CkiVL2mP32wdSDAVHiss0o8xjaO9y+xT70RtY7D1Thm+PFGHvmbI2r6JLaQMqCDEU1vqJiMP1woJMLEP/HJIdpiiXekX4Yo5Wq1u7GL2BxcGjp2E48CMAgA2LBQakt9v+kHiUZejQoUNITxe/OD625+6770ZmZiY0Go0gjAAgKSkJP/74IxYtWoS3334bcXFxeOONNzpvWn2focD+H7hlGkTtEegNrFhu3wQWXBrqyq25GJcSQ11m7Yyc9S4myBszhnZFYoQ/dW12FEiR0Qo3WYvx8QO8fQFtA2cZOim6yNgeg8CcyQEAdNFKX8aCBQMGC7MXYkrvKW3uMuPPj7H/ZuEqPZfNvcF/BMLyStzCuu1RYmjMmDFCALQcmZmZZutGjx6Nw4cPu3Cv3BwyrT6uJxAYBtSUUzHkIRzILzezCJG0Zbl9imV4653p1am4Wov//XpaeExdmx0AsuBiK91kLSYwHNBeMFqGDgqrC/oOQBIvhprMX0YWc5RrneEqyPPj5vIdwvr1/iORt/6wW2S9eZSbjNIC6mvEZd9AoBvXvFXIKKO4NfaWpG/PcvudHdJ6N75iD7acXIQV599H90bzfkzUtdkBqGhnyxAgxg1Vl4nB0wEhOBMvZj7LiSEeay0ynA15fiRoi3FVHReiccqnK3J9kwC0T2NWU6gY6uiQbjLfAKBbX/ExjRtye+wtSd+e5fY7O6T17smijzGw/jTuubwVv+fOxaenn8Z1lfuhYLnso/bsyk1xEuXOjRlqEXzckK4ZqDD2Set1FQLiegtDrIkhe4s+OgPy/Jhc8YewfktYOsAwEut2e0LFUEen0ZoYoq4yd2doUhhig30slGbjYoZi27ncPoneoMeOgh3Y8PcG7CjYId9osoPBW+V8DI3o1iQNWh1Vk4MPzz6PX3IfQlwTV5vGAD3yaw7ghd/XdprvqENBWoZCoi2PcyVkRhlP76G4qt8U4aGcGLJazNFFkFbrGyvEXmtbQ0dZHNceeFTMEKUFkJYhnwAgMl58TC1Dbo9SwWDF5BTMW38YDCCJSXGXcvs8WXlZsjVT3Cad10XwVrmkxovCulM+XeFjaBLEUQ/tBdxQsRsZsTEoV30AvaIUz/4J4M/O8R11KPiYIb9AwNe/ffZBVgxdBaVvALR+AfCurzULoLZZzNFF8OdHYmMRUhryAQBH/K7ABe9o2XHtBbUMdXSsuMk0x3+lM1MPYEJqLN6980rEBEsvFu5Ubj8rLwvTNk2TCCHAPdJ5XQ1vveuhLRLWfRs2BmP6foAV8Q8K6/z1J3FZvQp6RtoKqDN8Rx0KoRVHO8ULAdL0ep7eQwEA3tFcHE5cMySzp/igeGyevrnNRTd/ftxQ+aew7sfQEcKyu1i3qWWoo2PiJssq/hPpKgVCmw3QF/yN9HXpdGbqAUxIjcW4lBi3rECtN+ixIHuBpKUAT3un87YFvPXuxKuZwrp87ziwjAKH/fsI61SsMavV5CfrDN9Rh6GxHqg3Nu9ur3ghwNwyFNEFCDfuT3gXIP9v+BiA3bduQSHq27UCNX9+JOzbLaz7MeQaAO5l3aaWoY4OYRnacekvTPvqNhz35bobxzcBQTo6M/UUlAoGaT3CMWVgF6T1CG/3iwfPrsJdZhYhEjKdt6MyITUW/xfXIDw+68O5o+uUvsK6AEOjmRDi6QzfUYeAD1YGUOKtaLfYOEOgtIwG22uo+CBCbIZ6jV+i/cUcXciE0Dr0bTgLADjqdwUueHNWNXeyblPLUEeHEEOrDmWABYsTvsBI4+QmpR7YF8SV76MzU0pLsDdNty3TeduDLrVcwVeWYfDwneNxtorFtl11wvNBdtwvO/p35PEQNYY2FO3AwqwdANo27iv7uAY//HgebxLr3isORdJxDScqCDGEsiKgxwCX75NN/vhKWAwZPwMZaQPdyroNUMtQx4cQQ2cauGyWE37i033r+SU6M6W0DHvTdNsynbfNYVngwj8AACaqKyZf1RMLrrsC3y2bJAyxRwx16O+oFbhLm5N9f28RlovV4vq2sq7zxQvPaKXxg7sV3cX6VeGEGCotgluwSxRD3W6e7XbWbYBahjo+RMxQrdHgk0uIoZQG6fCi6ougUBxhZNeRiA+KR1F1kWzcEAMG8UHxbZrO2+ZUlohFTOPFWi9KX39AoQAMBkRABQa6zvsdtRB3aVKsN+ixdd9aDDM+1hC9vtsi7ossXljuFSR57m8/ruv7yq25GDcmDsK7u4MYungG+Jerio1eQ4DYpPbdHwtQy1BHp8FcDMlbhjgqa9opVZTisSgVSmRMyAAgpu/ytFc6b5tz/pS4HN9LXGYYrvI7gO7eXKPkTvsdtQB3alK8q3AXvKsrxX1QS593ddwXWbywghBDZ7y7oNorQCheeFwbIL6oTCqG2tLCxr9X7sYPxZWjbnPZ+7UWKoY6OkYxxDIMtAgHWOCSCqg0XnN78tcYFlAaIhDrN6h99pPi0UxNnorN0zejS1AXyfr2Sudtc4r+EZcJyxAAwI+7cQXq2M79HTmIpEkxy2JGaTYeuPQ1VIbmdqnkranRILZZfFyssjzOFZBFCbUKNb4Mvx5NjBc+jL5FMu6iF5GiTliGso9rMOLl3zFj7T4s+PIIZqzdhxEv/+4SQUm+l2GH6CLbGT3a6e/lLKibrKNjdJPpvf0RpnsQl9WrAHCzmpAGIJKoRRHW/ABig6hliNIypiZPxZTeU7CrcBd342jHdN42R2IZMhVDnGUI9dWd+zuygN7AypaMIC0hg+vysLrwLQDARVUkvg8b1eZNimMDY1FDVHU2tQyR41yBaVHCJ7o9imcS5qFJIVVlITFxgEoNNDcJliGLjYSNFjZnZnSR79VVq0FqwxkAwDG/npj9UyneDde4RfaYKVQMdXSMjVqVfoHoETgWqAHKVR/gsqoUfRq4oE5ffTgC9A+iR+DYdi98RfFslAplm3bDdhsuWHCTAYJlCI11gF4PpbKTfkcyWIsH0uoMwrrkhgJhOaHpErmJNmvjMLLrSBw3qAA0Qw/gsollyNVxX3zxwuKqRkHUkEKIAZeqPrR7OBAWB1wqAEqLpBY2AGBZKGCAgVGCNb5u5dZcjEuJaXVAs+l73VBB1hbiCi06672cDXWTdXSMliHGNwArJqfA3zAc8dqPUK1IEYb0r3sF/obhblH4ikLxSIyZZPD2BSITpM/5EcGuZBHUTo6teKCCUrEsQWSz2MRTxeok49uqjYNSocQVDPdblqgAA3GpbIu4L754Ifd+UsyKF/Lp9dVlOPjPReE7DtFV47fcedh1/H500XLZxc5slEpa8wBgEiGGfggd4TZNWeWgYqijY4wZqlEAFewOzBvfiJggH1R5dRWG9PZpcpvCVxSKx6FrBjScKwBdruCyx0hIMVRX3Xb75caYWSsI+HUbDhQiJohrUhwlI4bavI2DwQC/Gi5jsMxHahZqq7gvu1vzELWGaooKhOVby35DD+0FdGm+jOur9kq24QwLG7mNUF0V+hldZH/79sB57xjZce4CdZN1ZJqbuAs1gJyq05iZNRMAEB8Yj269BgHGFkkf35IEJRVCFErLuFQA6I3Wii69zJ/nY4YAoKGmTXbJ3TG1IJjCAiiu1mLRdb2w5td/ENVcITynMjS3TxuHmnLhd+7beyy23/1Eu8R92dWah6g1FNtcDt7uMaomR1gfpBctb4BzLGzkNgbUnRaWDwSmOv29nA0VQx2YrUc3YLJxuZY4T4tqivCV5gKuMT5WVpeavpRCodiLteBpQGoZqqeWIcB+y0BihB/evfNKdHmmUljnzTYjph3qDAkNWgEwYbHtGvfFt+axCGEZSlHVIDY4GuUV1Rhac0JY76/niswJsUZOsLCRcU3960UxdNSvl9Pfy9lQN1kHRW/Q44VtTwiPa4lfmgUrDf6rutx2O0ahdDTI4OkEG2KIuskA2G8ZiAr0wYTUWPRWi7FWE/uEY/eysW3v1q8QxVC7Nmm1B8IypCi/iBWTUzC4Lg++rFZYH2BocLqFjYxrGlAnnhf7AwwA9E59L2dDxVAHZVfhLtRUiSdvrYkFt4SKIQrFOVwgagzJucl8CTcZtQwBEC0Ilm6JknggvR5MpZhBFuOnaJ+bKdGXDKExlse5AxHSlhwTUmPxQoK0u4C/vsEljVInpMbizjEapDb8BQAo8wIOBL0Oje99uDO92G1jU6kY6qBoajQIIHohmYqhy6SDtLKkTfaJQumQOGIZojFDABzMjKosAQximj10TWgXyknLkAeJIWOtoe6F0oDpkfHeLrGwZeVl4bOdcxDdzIXCHwwAwADNKMOL++a4vH9bS6FiqIMSGxhrXQyRlqFKahmiUBxFb9BjR8EONOQfBQCwIVFAQIj5QH8aMySH3ZlR5SYVkpu1kIP/PTb8vQE7CnZAb7CjM64jkG4yd7cMhceJy6VF3DX+TI5kSBijdbqFTW/QY0H2AgwhKkgcNHYH4XvyLcxe6PzfxgnQAOoOysiuI5HoHQ6gDIA0ZggASqmbjEJpMVl5WViQvQBV5RdQbTT2HGQqcSEvyzy9mnST0ZghCXZlRpmJIXPLEP97XKi+IKyLD4pHxoQM56W7k5ahcPd09QiofYCgcKC6jLMM5fwGsCaFDOpbbqXUG/SyVdR3Fe7CheoLeIQQQweIw5/s3+ZuhUepGOqgKBVKzO07Czi8BoDUMsSAQbMCaPL1hbqhnoohSouwdEHs6GTlZWHapmlgwWJwg7j+b1UT5myaZl5vhrrJrGIzM8pUDJm4ycjfg6SougjT5H6PluJJMUMAZx2qLgPKLgJ//Wz+fAuPRWvCU6vjrHZXEZs+GGC6Bdf1b2sN1E3WgRkaliwsk2KILxCmDjWaUqkYojhIVl4WEjMSkb4uHTOzZiJ9XToSMxLdNh7AWfBuAP7G25sQQ6d8uf9mbgDqJmsdZZbdZKa/B4nT3TK8m8zbD/CVucO7G3xGma4Z+PMbblntA4REccstEEO88CSFECAKz9Plp6FgIbjJCtXAJZkebq7q39YaqBjqyBAH+2NjV+CLqV9g+93bkb8gn5sphURyT9ZWCsUZKRRb2LogdmRBxLsBeHoR5XJO+UrdAAK0zlDrsGIZMv09TJH9PVoKL4bCYgDG/VLDzSCDqOu4ytnoNwoIjuCWHXST2SM81/61FqMV0Qg0xrsfDJSOY8AgISjBZf3bWgMVQx2ZBtFx27fr1ZjRbwbGJI4RXRnBkeLYKlp4sSOiN7DYe6YM3x4pwt4zZdAb5BogOLK9NpyJuyGm5n05y5DZOJpa3zqsxAzZ625prVtG39gI1HBVsKv9Ilt9HrUJpBjiuXKceDw21kmz9Gxgj/C8UHMBC0LShHUHCANaW/Rvaw1UDHVkCDEka9aViCFzV5mzb6SUtiX7uAYjXv4dM9buw4Ivj2DG2n0Y8fLvyD7e8htDm87E3RBT8z4vhnQAzvpYGCexDNGYIYexYhmy193SGrdM9nENpq0WrZ27y5StPo/aAkNYnPnKwddLxXmD/Y2D7RWUyeVimw8yXqit+re1FBpA3ZFpbLkYyj6uwcqtuZL+QbHtUQK/k+DsYGS+I7ipfOU7gre00FpbzcTdlZFdRyI+KB4XqosAlkUvoxjK9wGaFQDAICEoXuoGUHsDKjVn0aCWIcexklrP/x5F1UWy1koGDOJNfw8H4M+jAXViJtllVWirzyNXk31cg1+2l+J1Yl2ZOhQH6yIwwbRXHhnTZgV7BWVMUSEAgGUYrJzzHeboazwiwYJahjoyjliGiFpD/AXAtJEifwFw9xmRp+HsYGTTjuAMa0BSI3fz5tet3JrbIktfW8zE3RmlQonZKc8CLIsuWsDf6GU45QuuuyjL4u6UFeYXfX42TsWQY7CsVcuQUqFExoQMAKIbhqelbhm+XtHnx77A4m+/gAF6RBKNYi97hbb6PHIl/PU7r1kqcv4IGIh5n+egSEvYQBywVPLC0/R75mHAoId/PAKLznKP43tjZMqN5uEZbgoVQx0ZUgz5yIihEHPLEHkj7d1QgBcL38JVtccBwK0vAJ6KK4KRTTuCv3t2NbbnPognLmYC4H5HTVUjDuSXO7xtey6I7hog6Qz0Bha/Hk5EZNOTSG4Qbzb/+AJKNgKRTU/i18OJ5ucH7yqjbjLHqC4zT+4wqTM0NXkqNk/fjC5B0hiZlrhlyInJnd/cgTzdEhR534dg/SFhTImKazLamvPIVZDX72KVtFzBrsCBAIC9GuL7cyCjzB7huTb1YTD879V7qGM7385QMdSRaUHMEHkjfe78e7ijNBv/LfifMMwdLwCeiquCkSUdwVkW11YdAABcV7nf8jg7ccVM3JPgzw8/w3AMrr1TWF/sNQVdtB/BzzBc/vwQxBC1DDmEqVUIkG3HMTV5KgoWFGD73dvNs2btxNLERM+UIkCfLTwuVYVInm/JeeQqyOt3uVcQtIxoBdodOBAsgBIdUXHXQXFuS3ima/3FlX08SwzRmKGODBkz5O1n/ryMGBJObJZFcj1n7kxougQvVgcdcWK50wXAU3EkGNmRaq1kR3BvthkqY7foAEO9xXGOwF8Q5QqvrZmwxm0DJJ0BedyH6cTzq9IrFQyUsuMAAHycRrOWs2yoZIqvUMwxrTEEWGzHoVQoW1zV2NrEBAwQQxineMsQT0vPI1cgOe4YBsf8euGqulwc9E9BiZqzFNUqiXtBC2oNTU2eiim9p5jFOAIKlHwxA8YqRtBfMQSeNCXyOMvQO++8g6SkJPj4+GDw4MHYtcty1sqOHTvAMIzZ38mTJ9twj9sR3jLk7QcoZQ7LEPOYIf7EDtHXIIi4eQbrpFkH7nQB8FRcFYxMdgT314u53wHGZUlH8BbijJm4J0Ie90F6MWumRulvcRwAWoW6pchZhmTacbQWWxMTiRjyCgXgnPPI2Zged48kLcV/Eubh4aSlwro6BVEDooVuW1548vFAv+SWYMTLv6P6yJ8AgCbGC+lZ5R4VX+pRYmjjxo1YuHAhnnrqKeTk5GDkyJGYOHEiCgsLrb7u1KlT0Gg0wt8VV1zRRnvczvBiyFK1VEkANde5nr+RdtVekgwN0XEnjTteADwVVwUjkx3BAwyEGDI0QMlyViKhI3grML0gdlTXGAkpNAMJMVRtFEMWzw9SDNH+ZPZjp5ustdiacMQa39IAoFwVLDiInXEeORPy+ASAYnUE1kfegEtqrtAiA8ArwLnCnA/Yri0vQ3dtEQAgzzcJ52sMHpVw41Fi6L///S/uu+8+3H///UhOTsaaNWuQkJCAd9991+rroqKiEBMTI/wp5awkHZFGG2LI21d8zugm42+kXZuKJUND9dVuewHwVFwZjMx3BO/mJ403Sgpg3TYd2BMghWagXrScViv9rZ8ftAp1yyDFEC+29TqHigXag60JB28ZKvfyh47xQkywj1ueR+TxaXpV4R/feHUvcWUrxRAZsJ1a/y8URjfjUb9eHpdw4zFiqKmpCX/99Reuv/56yfrrr78ee/bssfraQYMGITY2Ftdeey22b9/uyt10L2xZhgDROkTUGZqQGotHUqSCMURX67YXAE/F1cHIE1JjkXl7smTdzw8MwriUKOwo2IENf2/AjoIdHbZatKvghWYEI8Zn1Cj9rJ8ffrQKdYsgxRBZUdnJ1iGrExMWiDG+nVdkV2yYMwy7l4112+sgf3zGBEtdZvzxOah3V3FlK7MbyYDtAXWnhfXH/Dnviycl3HhMAHVpaSn0ej2io6Ml66Ojo1FcXCz7mtjYWHzwwQcYPHgwtFotPvvsM1x77bXYsWMHRo0aJfsarVYLrVYM0Kuu9tALl14HNBkv1r6BlscFRwLF+UBNOaDXC7FFvVEmGfbENZFIumMstQi1AL2BxYH8cpTUNCIqkHOh8N+jq4ORlY3SWK/fT2Th3qOvy3ac7ujxPs5kQmos2GglYLzGv/vAWAztGWX5/KAxQy2DFENR3YASY0hEcxPXdNRJ8BOTaZumgQEjCaQO0wHexochcQlI6xFuYSvuw4TUWIxLiZG/7uQWiANbeSySAdvxTWJoxSmfbhbHuSseI4Z4GJMGeSzLmq3j6d27N3r37i08TktLw/nz5/Haa69ZFEOrV6/GypUrnbfD7YWttHoePoiaZbmaHqHGXADNWcmwnj5agAohh7Gnkrel7AynxOCYiKFnf1iECyYFZ/maRu5cKt8dYeqNzS99/JHWK9r6YBoz1DJ4MeQfzP3xtNAyZK3Su6WJyUB1DADjhDs0pkXv2x4oFYy8cJP0ymudGCIDtslkjRqln8Vx7orHiKGIiAgolUozK1BJSYmZtcgaw4YNw/r16y0+v3z5cixevFh4XF1djYSEBMd3uL2xVXCRxzS9nhdDxfnScTXub+Z0NxxpidGatGCrmFzsAmU8YixYMGAw7/tHgcYhiA3yl1ivKBbgO4GTN2lL0GatjsOyQNlFbjksVlqOwEJ6vTWy8rJkLbCkVVR2YlLWBOwez70g3D1dYw5h2o6jFfAB28VVjfA3iBO+OqMYYsC55zwh4cZjYobUajUGDx6MX375RbL+l19+wfDhw+3eTk5ODmJjLR/Q3t7eCAoKkvx5JPZahuT6k+n1QMk56bhqqduMYh3TlhgkbRpYaHKxC7IQHsSCRUl9EeZ/9blTGrp2Cmoruf/2iCF/6iZzmPpqQGu0NoTHASpv8TkH0+sdqfRuliVJtCryJMuQRZxoGSIDtv2IzNU6hY/HJdx4jBgCgMWLF+PDDz/Exx9/jLy8PCxatAiFhYWYO3cuAM6qc9dddwnj16xZgy1btuD06dM4ceIEli9fjq+//hoPP/xwe32EtsNWk1YeOTFUVmReAp+KIYcwbYlhSlsFFhp464WRIJ318XqG68FE+9DZQK8DGo2p9QEhtsfTbDLHIQsuhsUCXoRlyAE3WasrvVcQ3oiOIIacaBkCxIDtEEa01jUovD0u4cZj3GQAcPvtt6OsrAzPPfccNBoNUlNT8eOPP6JbNy5YS6PRSGoONTU1YcmSJSgqKoKvry/69u2LH374AZMmTWqvj9B2OBozBIjNWk1dZABQQ8WQKdYCo+0NGHRlYGFWXhaKd72K+cQ6S5YhHiXLFZRjwZm4V27NxbiUGI+Y2bUpZNyPn4NuMhozZB/lJmKIFPYyYsjS+djqSu/kfnQEN5mXirOyNWudZqWckBoLNlQJVAM6tR++eGC4x7naPUoMAcD8+fMxf/582ecyMzMlj5cuXYqlS5fKjvVErN18zWhpzBBgFjwNgMYMmWArMNregEFXBRbyboG3GqSzYUtiaNpl4JnzSnwWeRGbIvoDkFqvPCGDpk0hb8z2uMloNpnjmIqhZmLiYBIzZO18rGBbWem9vONYhvgA8mFqNXyatWDrayxUOXMcxuiN8PIP9MjrhceJoc6KPVlJEloTMyRnGaJuMgF7AqPHpcQIgYVyUUGuDCwk3QKmAdOyYogFVpwHUhv0eEzzBTZFTJA87Yj1yh7Bbi2jx2OoqxSXHY0Zom4y+zC1yJQViY+bm4TjKDsvF5m7quBt6CvpD1dc1Yi56w9i/NX/2PV2Fgsvkm6yMM8VQ2QA+Rkd0B1Aedk57MzLck4WqT117dwYKoY8AEeykgRaEzNEWoZ4cyoVQwBsB0aTrqUVk1Mwb/1hMIBkvKsDC0m3gJkYkokZUrIRiGuqA9CAUJ35jdpe65U9gt2ejB6PgLQM0Zgh12BqGSJihv448yvu2Ha7eBx5A0pDBMKaH4CfgUuoqVPsQbnqA3xwrNTq2zBgEB8Ub7nSO78f3r7S39GD4C3FfIxUjVEz+usMziurwYsha54IN8ajAqg7Iy3OSrLXTUbEDFUUn8aGvzeg6twR8fnunMsETY1iZkcnxpHAaFuVYF0VWEia+wNMxFAw8Xj+kIeQ7PUaEhrXIljPuR3UrA5qAxc870gfOl6wm343ZCC2Ixk9bo+jbjJyQmKHGNIb9LRKuGkANZFa/+LvK8yOIz1TisvqVahX7EG9Yg8uq1dBz9gWQoCNSu/lRI0hCzXt3Bm5AHJeDPmwgJeBtR5Abg+6ZtF1SS1DFFdgevNdcf59XFWbi8e7LUCeX3fLcR32usl8/KFXqaFsbkLR+RzMzJqJokIgGEBjYAh8IhOAUwe5sdVlQGS8Uz+fp+FoYLTVSrAugjT3W3OT3dZ3GiZ3642l63ZBCbHXk5+hAc0KFQD7rFf2WMue/e5vFPlYzuhhwGBh9kJM6T3FM1xmFsSQRReg0gvw9gO09TbTmTuM9ay1mFqGiNR6tSXfMwuUqd4X42BsnGY2K703acV4SQ91kckFkNcQp1iAHtYDyO3B3vuNG0PFkJtD3ny7ajW45/JWAMDdl7/HE90elR0HwG43WdbJbzCEaUJXAJHNgI8eiDNm1R9GJWL11UjiB1Mx1KLAaIuVYF0E32epqLoIgXrzAGrSLaBUKOEzOQk4Ko4J0DfANzzKcjyaCaRgH1Gdg4yCV3HYvw/mdH8aYBiwAApq/8Kl5lZk9LgbfI0hAPAPAWCHiPEPMoohy5YhU3cGT6esEi64p/y4dHDCTaa21KeVAQyMfS79/43/Hx4Z+oh18V0ptphAmGdmkskFhpNiKFAPVKisBJDbg0QMWWn/5MZQN5mbQ95Uo5rFjK7Y5lKL4wDYpdR582kJZwRAeDPQnUjSyPcGfrq0X1xBM8qEiquWJpyOuJZcBdkA1lLMEOkWGNNFJRnz1i29HGpEyQtxf309Xjv3P4TrqjGu6gB6NIqigK9fZItWXZDbEhPLkF0uQP4mYUEMtboeTkeDF0PhsdCzBpyuFgvBylqGHCTaP9q2FbIDZJLJBYabiiFL4+zG3hhVN4aKITeHvPmG6kTzelgzdzG2ePMlTfEWlDpvPr1svBd6AbiSOKbzfYB8PbEdGkQtqbhqKojcqeIq32cpyCDdj1BWaW5dqJEKlYGRXg7tPy/EH9F8iRhCsMc0i8cLX7/IFq26ILcl9aIY0vsF2CViWD74tr6GazVhgiP1cDo8jfWC4Cz1USMxIxGvH3xLeNrbkmXIAew61jpAwUXeUswQVyxSDAXpgYSgBMsB5PbQAdxkVAy5OeTNl8z0CddVWb/52qHU+Vn4ZcIwMJR42VkfoJw0GlAxBADtFhjtKFP73GImhmIV/uZulloTq42DJfqHJoUhzesS7iv5VrKet2QyABIDBiM+UHpBJmHAtP6C3JYQbrLD1WfsEjGVCuMd3KCXTUaw1yrmMdaz1kDEC/1elYcL1RegJe5WFi1DLKAwhENpsOyWNj3W9AYWe8+U4dsjRdh7pkyajFLm+QUXSUsxf/6ZWoasBpDbg70JO24MjRnyAPib7+m3tgjrwnUViA70wrNT+re4zhA/MyLF0NXEfTDfW5p9RN1kIu0RGO0w2gYwBukUmmmoAQwGQEHcWUwsQ5JjxwpCTaHqBrxSvBYqSN03Uc3lgvR59qZ+qFdmYNqmaWDASKwodmX0uBuEm+yiod6+l3gpINjH6qsBH2lnb3utYh5jPWsNhBi6aAwVaiJOLTkxxIABywCPD12NYF81nvrjHgCweqzZLAfRASxDgGgp5mPaSDG08uolGOastHrAYy1DVAx5CPXKvVCwG4XH3qweVap7Ua98E4DMgSxR6v6y2+TNp6UqcVY7sE58Pt8HGOIVBaCEW0Fbckho68BoeyCzmbqyPrjGdADLcj21yP5EppYhOyokkzeRGyp2YUrhPgCAllHBm+Ui8KN0FYiR1BmSXpB5bGb0uCOEGAqLSLIyUMQrgHBlN9QAkN5cycB3OZebzXo4HQlCDGl4MURahmTcZKbHUe+YQKvHml312yQZbZ4rhgBOEE3pPQW7CnfB/+dPgXOfAACGhfdt/cY7QMwQFUMeAB+c+X699LTVlV+0nGHCH5xqHy6tVwbefPrj6VuFdfyMq5kBLngDa0ctB/Yv4lZSN5lbY5rN1L0BOCM3sK7KRAxVSp+3YRkibyJ++gb858KHwnOvxN2Np4u4x1MSgNnLxkqsZeQF2bMrUBvFEMNgeK/xdomYKGVPAL8YX28eRM2fjx3GetYaymTEEGEZ8ia+5oevehi3ptxqdhxZO9bsLZ46vrFYdOx6aDYZiVKh5LI1e1wAwImh1nauB9Ah3GQ0ZsjNITNMwk0ayUcaH8tmmNhZGn1q8lTcN+YJs/UXfZTYdPvXGDfw/8SV1E3WItqigJ5cNpNpJpmAaTaTqWWo0bIYMr2JPFr8JWKNgdK/Bw3BF5FiK48Ibbms25C/IM/oNwNjEsd45s2db8fhFwSll8osJoOHFDEKsjijhYwy3p3RJaiLZH18UHznTKuHKIa0FixDt6bcavE4snSs2Vs8tVZjPJ8YBgiJavHHcTsc7Fxv8xpG3WQUV0NmmISbtFKIbLZSn8WB0uhpqTcBeEmyrmufMeiWPBVoJrpDU8uQw8jVnukS2AUPDH4AV4Rd4RTLiKWU7BaLISszRfImEqqrwr3GoGkt44WV8Q+gQeGDaqU/gvR10qJ5Ho5pMcXRdcYEBqPAMY3J4JG4bo6cFDdopdZQh7GetQbi2Ck2xjSaxgy1xm1ob/FUZaUxZigoguv23lEgM4ydUQSUFFRUDFFcAZk5YiqGoprlxwFwrGke2Z/MCBPTnVtQqbltNNRSMeQgFgvo1RRhxY4VwuPWVhe2lJJNiiE9ILawNHXROBBATd5EejRegJrlDsqvw67FOZ84boxXqCiGWNYjWxiQyN0MGqoAH0BSfdqmiJH0J7N+AxLcGR2V4gKzzvMSiP6IGjUnfJoU4nnEp9a31G1oV/FUloVPrbFfo4fHC5lhp2XI7iKgHaDoIhVDbg6ZOWLqJiPFkCTDRK/nKt0C9omhEHMxhNju4nJQOBVDDmKtgJ4pra0ubCnVmhRDl1RiZXGblqGGGottJcibSBhR6uGCd7SwXKIKQ0/tBS5Qu75G2rHdw5C7GagNgI/xZlzK6BBBjLcqYmizVo5X7gJ+/cy+sSo1Ppj5BRb8vBBNNaIYDVcFYPP0dS2eQPD124qrGmXPUAbAFf46KHRGy7gHZ5LJYodlyFYRUEkLnQ7gJqMxQ26OUDCLlbcMydZn0RKpvvYEs/kFmZuAY4gMmUBjxlRNuWyxOIo5tgrokbS2urClVGtSDF1UE0/YEEPnL51EYkYi0telY2bWTKSvS0diRiKy8rJMioCK2yn34m70DIAaf0IeeLCrzNLNIJg4D4/U5Nv/m0luQJ1UDOl1wG/r7R/fLRVTU25FwYICvD1lrbD67r4zWxU/ZU/x1KeHE4VCO0DwtAQ7LEMOFQHtANlkDouhwsJCsDI3RJZlUVhY6JSdoojwGSYBevPaGnwAtZmp2FGVzjDmrjKJGDKmBBv0nfci7iCOFsZrTXVhuQqzABBABJmW+fuKD0x/QxM32dGCPy22lfj21DfCTSRcJ6aXV3gFCe/eK7mX+EIPFkOWbgZk7a1iNNr/m5EWMjuCVjskdVXihCoiHhh3t+W/mx4CHs8EwF0Hr+omFopQ6JtlNu4YtoqnjgwnfmgnucnaIpnCLuywDDlUBLQDWIYcdpMlJSVBo9EgKkoaWV9eXo6kpCTo9Z2kb04bMjV5KnwnvAvsnydZ35X1xubpX1hOqwfsPzCDI4Gyi+JjUzcZT3WZJE6CIk9LC+O1pLqwpZRs0jLUs9dooCSbe0CKIZYVM6OMyAVek2bx/AX5ePfOK1H+v0zh+XKvIKGmUNLJU8AO/gnPFUOWfgvSMlSlBJT2/mbUTSYt49BvpCB27IJo1IomK/FGDmC1eOrv28WBTnCT2RWI3FaQ9wULwtyhIqAdILXeYTHEsiwYmYDI2tpa+PjY19GbYo6lGA2eiVFDzV5zTWAvMHInkR19yUxhQ6KEmb3e2x8ICBMDbkkxVFMuEUq29tsdEColt2GlaFsF9CzRUhEll81EipoeV4wEdhvFENlktLEe0Eln2QEW5jOk9WpC6hgYevsB57nnnpwxGv3Trua+18vEZyjzXDFk6bcIIb6fSi+gr72/GXkuytQZ6hSQYsg/xLHXqrzFZV2T5XEOYrF4qqTgYuvcZHYHIrcVCgVXjLexzqIYcqgIKDkBt1Dk192xWwwtXrwYAMAwDJ5++mn4+Yml5PV6Pfbv34+BAwc6fQc7A3bNGGSCl5nqy/IbdNBkmX1cA6ZIj/HGx/8oInHvK9vFysG8m8xkP9xqpmMBm+X2XYS1AnpyOKO6sGk206jvvgSKvuOeDCfq1pBWCdPgaVhJyTfCW0wUVeLxNyi1J8ALTPLGUX4RnoqlmwFpGWL8g+3/zVrhJmsPQe8SSCtkQIhjryUtQ04UQxYhO9a3wk3mUCByW04k/QLFJAcZHCoCyt9zvH0BpXtNhu3F7pihnJwc5OTkgGVZ/P3338LjnJwcnDx5EgMGDEBmZqYLd7VjIlcsDxBnDFl5WdwKuUyuystcnylTHHCT8dWEiwziuPPqGKEkffZxjbmbzJH9bkf4z2ZaXE3y2VyIpQJ6pjizujBZZK6LkrBERNgvhixZhngEi0l1KfdfoQACLASberBlSK7BJSCNGZo44P/s/81a6CbLPq7BiJd/x4y1+7DgyyOYsXYfRrz8u8uPX5dAWoYcFUMqQgw1t4UYIr7fVrjJHApEbkt4S6UVYW53EVAH6tq5K3ZbhrZv5/yn99xzDzIyMhAU5Lnpsu6CQzMGub5gBj13MwsyMfHa6b8lqwmXeYlxQOe9oyUl6a8fHCaq5ppy953pEJCfzYvV4Zrqozju1wNlqhDJZxuXEuPSGbapteZ0+Wms/WstLtRIrWku6c1FXuRIMUS6aExrDEEaeE1iZr2qMoqhwDDpbDA8Tlz24JghQN79SFqGBvUYY//GfPy5ZAWWtVsM2dU/y4UWTqdDumgddZORliFrNYqcBdmktRUd6x0KRG5LeDFUX2O1HphdRUD5a42HBk8DLYgZ+uQTrp/Jv//+izNnzmDUqFHw9fW1GEtEsYwjM4YxpGUoMFS8iVVeti6GrBycZDXhyypxZn9OHWN8f64k/al6FZL5J6vLHNvvdiocR362RRc/x0OXvsIZ7y4Yl/IODIxS+GwH8std3mzVtPbMUyOfaps4K9L8TQoUOyxDDAuwxOksa73i3WRBEdIN+AWK8QgeLoYA85tB2vZsoOBT7klHrBsMw92A6qvtihkybX2SVnMMQ2pP4POISShXBbeZoHcqrbIMuSZmyCK8m0ztA72PP3YV7GjROetQIHJbwqfXG/RAUyPn4rKAzSKg/D3Hz74YVXfEYTFUXl6O2267Ddu3bwfDMDh9+jS6d++O+++/HyEhIXj99dddsZ8dEodmDKQYSkgGcvdwy5UlQNc+0hfYKYbIasLZIcNxT8l3UMCA78JGS8ZdZvwlYshtZzoE5GcbVHcKANBDW4TI5gpcUkfIjnOUlgaPt1l1Yd5dyjCci8bbj6tBJRFDlWYvUwDo6R+H0/VivI+Z9aqpUTzOZCqYIywWuPhvhxBDgMlvtnu/+ISjmZV+Qdz3b0fMECnop5b9hv+e+x8ArtjlyoQH21TQOw0yZshRy5BSyblkDYY2EkPcsVsXEIQ+byS1ODbSoUDktsQ0vd6KGLKKXsddDwCPdpM5XGdo4cKFUKlUKCwslARR33777cjOznbqznV0HJoxkGKoa7K4XFkiGas36HFWc0x87O0HS5DVhKu9AjAx+U2MT34blV5SF2hgFOEvryl335kOAfnZvFnxwhmhq7Q4zhGy8rIsFiZ0G+oJ0zXDiAG8NixDAJB3zwFsv3s7vpj6BbbfvR35C/KlF37eRQYAwRHmG+DjhuqquIy1joTE1eOgGJL7DWTQG1j8+S/3HU+q2I1Xz2UIz/VolFplWyPo25zWWIYA0VXm6pihJq3QmPpoc0mrYiMtxZ6Rj50RL+gwDjZrtUhjnbjcmdxk27Ztw88//4z4+HjJ+iuuuALnzp1z2o51BhyaMVS/LD5BiiEio4fP7pr39wU8aVw386c5uD3MIDuDMStJz5ieqFwBsv7JRM2h6jL3nekQkJ9NbRBTxyObKwGIn21oUpj8BmTQ63XI2f0RcnO24Kd/szHC5Hnm8gVsfvtWxA9biKFdzEshuIyQKKD/GPMsDsGPb7zo+QVzpn9LYigoXBDdSm2DdetVNSGGTN1kgHncUFwPmx/DY2iNGBKCVms5C4fCfD5KZkBeW7kfGfmvQgkxkCvAIBWXLRX07YLEMtSCemVeas4K4eqYIWKSWSzTn9XR2Ei7Gvm2Nb5OEkMdoOAi0AIxVFdXJ7EI8ZSWlsLb21vmFRRLOJS6yAdQMwzQ5QpxI8aTlqxjQWYDFTSWWqxjwZekn7f+MBhAImt4WbRicgqUgaFi4GdNmWP73U6Qn82bFcVQhK5S+tnsjLXIysvCt58+gHV/lWEIgLusDf5nTQv3uhXMehaYtUK6rt5EDJFWCT5gkgygjkwQLZC2Lo6kZUiut50kvb6DiaHW1MohM8oaas36tpEB0yOqc/BO/mqoIE3v89c3AGiZoG93WmsZ4uOGXO0mI9y7xWr5IY7GRtoViNyW+Jm4yVpKByi4CLTATTZq1Ch8+umnwmOGYWAwGPDqq68iPT3dqTvXGbA7dZG/SQWESG80lSVm2V2kGKoxnmeW+l7ZKkk/ITWWszjwqdNG07Hd+92O8J/ND4QYaq6UfjY74IVmP40bN6o98rv0McuKMUP8RY+/ERsMomm71kQM8VjpXA9AYpGUtwyZiKGOBG8ZUigBH8tuaFmspNeTAdOD6k5i7ZkX4M1yqWvfho7GZa8QAIC/oaFFgt7ZtKi1hERItsAypHLMTaY3sNh7pgzfHinC3jNl0BvsLIBKZJJpLIgh4XkHYiPJ0hdjEse0b4FaahmS4LBl6NVXX8WYMWNw6NAhNDU1YenSpThx4gTKy8vx559/umIfOzx2zRh4MRQYLg1YrSwxy+4ixVCt0vYMxmpJep7AME4IEbFLbjfTkWFCaixYfwYwhlXcleyDxx8fa/MGwgdHF1UXYdHPi8CClTTKfSEeKJExn/PcPeAuDI4d7IRPYIOPl3NB0RWXpOsb68UaVL4mYgjgbsS+Aa0QQ3bGDAHSNi8dgXqjGPIPtpiObBHJbFwqhviAabWhGa8VrIEvy7mCfg4ehscSF2Fb7nxE6ioRoG8QWp+0V1p9SwuusrWcZVbv5Y0D5+swNMnbMTEnxAzZdpO1quAqUXBRzk1G0p6xka3Cjv5kdtEBmrQCLRBDKSkpOHbsGN59910olUrU1dVh6tSpeOihhxAb66EHhRtgNcNIrxNno0EmYqjqstnMhKwTU0vY/qzNYCyWpOcJCueyg2oruf1RetnebzeBIS6ccYZqsVKyBeQu9AAQTnSteDMWKLEyY5w66R6gLb6Xb9/kfpdKEzFEzvRMLUMAl9odHmfuJpN7vRxkzJClbDKejmoZaombx4pliA+Evr/kG/TQcsdejl9vPJK0DDrGC7VKzgoVZGjA7qXpUCodNuw7hZa2lsg+rsFATTFiAJTBDzPW7nO8Gjwvhmy4yVpdn4k4Zi9ZOM/dITayVTgrgJoUUh7sJnNYDAFATEwMVq5c6ex9oViixiTI1ddfrONSWWI2MzG1DPG0agYj6U9WIR8n4q40Edk2pqLBBEsXegCIICxD5RbOHFdeIGVT+UOjRZHapAXUxpgKOT++3I2YD2j18Ze2XbFlGaok3GRyliEygNqDq1CbwbKiq6clbh7JbyC9AUUF+iBeewmPaDYCAPRQ4KmuD6FJwZkm6hRc6rOC1QM6LaBsYSp0K2hpwVVenBxt5tyz1Uquf5XDxSPVtmOGTOszSffRzoKrpJtMBbeNjWwVzrIMdVY32bFjx2TXMwwDHx8fdO3alQZSOxsyrZ4XJcGRghgyze7ie0tpGaBZ4aQbNHmjrCn3YDFUYnGYtQs9IFqGqpSATmZS7soLpCW3xD5lFwhRW5UlQJTRumPLMsSLIV5oB4Ta1clawFY2WUe1DGkbOMso4AQxxP0GfN+x4qoGPF/8oeAeWxd5I3L9xEzOOlL8tKYuTCtoScFVXpwwrB5Bxky4ai9/43gHq8HbkVpP1meS30c76jMRbrLnbv0AD+x7zn2ywJyF01LrCTHUmYouDhw4UKg0zbLcTYOsPK1SqXD77bfj/fffp13snQXZiiPQePKGRAGXCoCacihZVpLdFaDnfpdapRNv0IRl6JecL6HSj3a7+CBZ9DquwiqPaWwNga0LPR8zVGohhsBVF0hrbolvSy5gvvGxvrwYSl4MkTM902wyQBRDfMxQQIhJQKUjMUMywjgghMv8adZ2LDFEptX7tUQMSWOGyLiWsVUH8HHZXgBAiVco/hd3hzCUAVCr8JW8FqFRjr9/K2lJwVVenAQZs+AAoFopCm+HikfyYsigB/R62aag9tZdsjqOOGYnDrkbBVff69axkS3CFZahzuQm++abb7Bs2TI8/vjjGDp0KFiWxcGDB/H6669jxYoV0Ol0eOKJJ/Cf//wHr732miv2ufMhZxkKMV4IWRaoLsPU5Kl4athavLLvCQTouRtVrRJQIQJLh61u9Q06V3sJKcblN357Ft/nuF+HelmaTAItq0stXkStXegVLBBqFENlJmfNwmGcW8AVF0hbbokSYl+Wrt2GcffEc+4GWcsQcfOur+YsZrzVzMwyZGc2mdpHPqOKYTjr0KWCjhVA3Zqu64DEMpR35gLmbefiWnwMjVh5/n3huRfi70eN0ZUEcNmdVyZ3A4yF51s1k28FLSm4youOIL14TFUTn810nFVUJp3rTV2F/xzCoN1b8JCm0OamBu3eA+RayAYsOs39D44AVGooAbePjXQYZ1mGOqub7MUXX0RGRgbGjx8vrOvfvz/i4+Px9NNP48CBA/D398djjz3mEjH0zjvv4NVXX4VGo0Hfvn2xZs0ajBxp2f2zc+dOLF68GCdOnEBcXByWLl2KuXPnOn2/XIqsGJJmlGUXGbB+ewxi8BEC9bcBaEIjE4XYhrVYv12Ja7poWpx5kpWXhd9Ofom3jY/DjKLAVsCkW9BscoE1GDhBFBotWa03sCivtpwmHaIDeJnDiyGlIQJhzQ9gfJeHMSbRNckDtqxVZHCnsqpEjL+wZRmqq5LGogW20E0WFGE5oyo8VrBeSuKZPJnWFFwEJGLoj6NnwYZeCQCYX/wVEpo4q+WegP74LnQUwvxVePrGvogJMmZ3fvSzuJ3WzORbQUsKrvJFIYP1YqXiGqX5uWZX8UjT/mSkq7CiBFh0Dbo2N+FxOz4LvrNjTCu61bs9NJtMgsPpCH///Te6detmtr5bt274+++/AXCuNI3G+abxjRs3YuHChXjqqaeQk5ODkSNHYuLEiSgslJ8F5OfnY9KkSRg5ciRycnLw5JNP4tFHH8XXX3/t9H1zKdYsQwD0FSVCwKCCZeBnrLjcoAgBfwtfuTXX/hobBLxlgrSG8LEz/MXQUg0jt6BJZrZp4irLPq7BiJd/xytbGSgNEZALGSLT6msVyYjWrkIX7UfwNwxv8XdrD7bcEqQY4luNrNyaCwOZqWQpm4xMqw8Itd9NxrKim8xa7FgYEURNdgD3ZFothsTvmDU2a43XFuPBS9w1qYnxwtMJ8wCGQXldM2KCfJDWI5yLpfGVutjag5a0luCrwQcRYoh0kzHgUt7J4pEW6wNJOtebxA2dz3N+m44hE5y7PXeCWoYkOGwZ6tOnD1566SV88MEHUKu5A7O5uRkvvfQS+vThGoYWFRUhOjra2mZaxH//+1/cd999uP/++wEAa9aswc8//4x3330Xq1evNhv/3nvvoWvXrlizZg0AIDk5GYcOHcJrr72GW2+91en75zJkA6hFMXTmn7PQVHE3nmB9LRTgY4a4WVNrGjrylokyIk6GFAbu0KHeKjbEEJmCy0CJsOYHcFm9SozsNEKm1dcor4CPoT+A1n239mDLLXGJ+F0imiuF/Sm8cAmJ/BOW6gxJqgE7YBmqqxKDiOWCp3lMCy9Gm0+iPA6JGApx/PXEbxBg4GJoHru4Xiiu+FHUzTjjK5Y4kLiOSMteO7nJAMdbS/DV4L95SywMyrvJ5IpHWq0PJBFDJi5wsgde+gz81X08vjxwHuV1okAK81fj/4YmYHBXO6p2B4UByWm2x3kqrii62Jliht5++23cdNNNiI+PR//+/cEwDI4dOwa9Xo/vv/8eAHD27FnMnz/fxpYco6mpCX/99ReeeOIJyfrrr78ee/bskX3N3r17cf3110vWjR8/Hh999BGam5uhUplHwmq1Wmi14klWXd0+MzAJNtxk2lINAE4M9av/V1h/2qerZDMtaejIWyZIy1CYzvI4t0OuOJtRDJEpuAxrwJC6XBR49wHwJMpVH0DPiEHCUc1BALhjocLLPGPCVc0ybbklLhG/C9mEtrFaXLaYTVZr4ibzs9MyZKvgIo+k8KKbHh+O0toKyqQY0tcjuf4splTsBACUK4Pwdsx0yXDedaQ36HG6rgh9jOsNdVWOm/WdiKMFVyekxqLL0AjgLPeYF0OmxSNt1Qf6EwYI9kbT9PomMUAbPQZi8PS7MfA2VlJMdnC3UPx1rgLfWiou25nw9uV64xkMNLUeLRBDw4cPR0FBAdavX49//vkHLMti2rRpmDlzJgIDuYvprFmznL6jpaWl0Ov1Zhan6OhoFBfLm+CLi4tlx+t0OpSWlsoWiVy9erX71VCylE1mJLRZFGz9604Ly0f9ekk205KGjrxlolzGTSY3zu2QswwZaw2RKbh3lP6EF86/izKvIIzo+zF8DR9BqzgBPVMBJRuKng3FAN4AAFR4BZltsrXNMvn0atMK4Nb6wIE1cZMZm9ACQBBLiEBLdYZqTNxkPkRQq1UxRNYYsuYmIy1DHSSIurVuMmI2HqHQYunFdYIl9+2Y6UJhRbLvGF9WYdjZC/jK+NoXtz2Bvj2i2jVWz9GCq/2Ir+uWkX1x48hhEjFiT32gwxfrRTFk6hIjLUPefsZ9FIvJZh/XYPSr21tWkbojwhhdr3VVqK8uwbd/b2hZphxpVeosYqi5uRm9e/fG999/325ByIxJsCbLsmbrbI2XW8+zfPlyLF68WHhcXV2NhIQE2bFtBmkZ4uv9EGIoDtVCh/aB9f8I64/6c2KoNQ0dectEuU40h5NuMrevwmrFTUZac0ZXHwYAhOuq0avxHI769xZcYSG+KoTpNgpjK5XiDc0ZzTJttQ2w5JZQshHw1c1BA/Nf+LJaoQltTLAPYtSEYvWTCaA2tQwFhHBVxdU+3HdmzWxOWoasuck6omWotWKI+A2GNpyCup77DS6oI7E+chIAqevo21PfCGUVaoj7E1tX5f7JC6YQ392Qvt0BE7eyPfWBqnXEddvU6qslxJBammXW6orUHZR6lRf8AFSWn8fMrJkAWpAl3EEsQw5ZWlUqFbRarVXx4SoiIiKgVCrNrEAlJSUW45NiYmJkx3t5eSE8XD6+w9vbG0FBQZK/docXQypvMY2ZmJErqi5jxeQUgGUxsO4UAKBK6Y8C79hWN3TkLRO1SqDJ+HLeTeYRVVitiCHSmhOvFeOIIgkLCwDcc00SQnSiOCg3WobkvltHm1fyF2nTmwB/kc4+zomIqclTUbCgANvv3o5lQ99GtHYV4rUfwY+9BqWqEACiZWjF5BQoJBeoQOl/QEYMhUrHWLMMVdvpJiOrUHeUWkP1hBhqYdd11otzz/NCCADWxN4BrYIz8/GNhMelREnKKlQTpxhfZd6tkxdMsVGWwB5XcxNDzN+tucmIcg+2LE5AyxNMPJmsvCwUaLl7SyBxCPFZwll5WfZtiM8mU/sIbZo8EYfdzo888ghefvll6HQygSMuRK1WY/Dgwfjll18k63/55RcMHz5c9jVpaWlm47dt24YhQ4bIxgu5LcZO8QgKF9OYTZq1TkiNxSc3xiDSGDdy1K8XWEbhcId2OaYmT8Xm279GpYo7XHg3mTt1qLeIXMyQ0U3GZ7kwLCukNQNApI67SfFZLg+P7YmbksSU3kqjGDL9brPyspCYkYj0demYmTUT6evSkZiRaPGi4uhFmndLvDRxPjJnzkZsMOfWKjV2Mw/TV+O9Gf0s1xlSqbkLFmDuJgvkxZBxZmfVMtQSN1kHEUOtjBnKPlGMKkZqtTjjl4iutz2AjP8biA1zhmH3srGYkBprVlaBtAwF6qXJCx6B5LsLMXvaHldzE0Nct03FkIybDHCsInVngc8S5o+pQAPAGC86DmcJ8xMnD7YKAS2IGdq/fz9+++03bNu2Df369YO/v7R4VlaWnWqyBSxevBizZs3CkCFDkJaWhg8++ACFhYWCy2758uUoKirCp59+CgCYO3cu3nrrLSxevBhz5szB3r178dFHH2HDhg0u20enYyyqCEDaH0ztzV2M66qEm9MYRiwxEHPVCGy4bZjTAgSnJk8FG9MHKMxFHLyx/e5sz6jCKhszxLXk4LNcnvpku5DZAwCRzRVmVp8EL/FCu2DqMAQldJd8ty1pXtmatgETUmMxLiUGB/LLEfNmNyCXswiOjzee0hI/PmER8g/mvpO6KnnLkJ8dliF7A6iDwrmZol7XcQovtsJNxlsB/2B8EQIxzu+lmFn49fezePfOKyW/s2lSAimGgoi5aHslL1iKc7OIDSHJT06KqxplJwgMAG+yq4FpzJBWXgw5pSJ1B4MX2uQx5a8Hao2XD4eyhPlrhQdnkgEtEEMhISHtlpZ+++23o6ysDM899xw0Gg1SU1Px448/CnWPNBqNpOZQUlISfvzxRyxatAhvv/024uLi8MYbb3hWWn1jvWjdCDJx7QVHchdnvt/WqQPCU71GXWvmk28tjPH9vZq0GBM3DHB3IQSYF10EJKn1E1JjETw2BPhbfDqyucIsy4WM2xo/rK+JGd6x5pX8TeSn4/bdxCxdpIXg0G7dgFzis4XHidkhCoW0MJ1fEDdGLrUeEC9oTY2ciJEze9vqWM+jUHBF60ovdBzLUAvFEGkFrCWqJh/yT8YvwUNl+3OZJiWQbrJAg7jcHskLtuLcZLHhJuMnJ/PWHwYDabkvXmJd0ycW4C/x1mKGiGPe3uSG1iZBeBK8gDa1NtZ6yY+zSme1DH3yySeu2A+7mT9/vsW0/czMTLN1o0ePxuHDh128Vy5ELpOMJySK61heV8VV+D0piiH0Hur8fTFt1krGhLgrlixDBgN3swaQ5ictnzApnsHMZWOls1xeDHn7mrWfcKR5ZWNtb7ObiC1sXqTJatq80OMtQ76B0grRfEaZadHFQBPLEMBd5OTiYmx1rCcJj+XEUNVly+LKk+Bv6Cpv0eVoB6QVsJzIRny5y90Aw8haAU3LKpjeuNoreaHFwci8+CbdtSZMSI3Fu3deaXaO8JOTnn8fFQebusm0RMwQYRmyx+LU2iQIT4MX0KbHlKn0sSm09XpRhHY2MURpY+RqDPEQGWWoLAFOH+KWI+KlBe+chCEwTAgyO3riDFJHxLp/jQ65mCG9jhMC/PdZnC95OrypHDD9XPzvYCpIYb+bIjsvFxt31slekOWw+yItK4b42ZpJTSReDBn0QFkRt0ze2ElTtyUxRFqGAm3sG1+FmmW5fYvoYn28u8Nbhhx0kZHWvbVRtyC2qRQ/hI7EwYBUi+NMyyroFCwaGcCHFQNe2zp5wZ70d4sd6Hkh6R9iuYULpC5gMxfcSaIdh51uMnssTi1NMPFUeKFdqxQncWQQtd1Cm/zOO5ubDAA2b96MTZs2obCwEE1N0gPSo60w7og1MUS6KI7vEl0jva9y+m5kH9egNK8Odxofr964G+f+bHL/Gh2kZYjvog5wN2YLYgjlJnWrWJboxWUuhux1U3x3uMEhIQTYeZEmxVClqWXI5AJF1hq6fJ77z1uFTMdbCqLmA6gDQwEvG4kIplWoO6kYIq17O4Kvwo5g+XPU1ApoWlahRgn46IAwgxKbp29q8+SF1sS5CZYhO7LwyPpAEsgK1GaWIfLGLLXe2rI4ufU1zAXwQvv0MTFkhBdDDmUJd5C0eqAF2WRvvPEG7rnnHkRFRSEnJwdDhw5FeHg4zp49i4kTJ7piHzs39lqG9n8vLjvZRcabxYv0oh8+WFdrlv7tlpBiKEqsyH0k72ch/Z3VnJG+pqKYE0A8DbWAzphCJyOG+FmWaa8mHgYMovy6oK7mCrt326EswBATyxDLihcpPxPLEFlriJ9ZBxBiyJ4q1HwAtbUaQ0YMRKPLk8dPenb6ssEg9gRzMK1eyFy08Lxcfy4esqyCj7ENT4I6tF2yOFscjEx+dy1pY8JjrR0H6SYzqTMEcIJo97Kx2DBnmFnmXmdkavJU3DhwhvCYF0NdguLx4qhPoNReLe0LJ0cHKbgItMAy9M477+CDDz7AjBkzsG7dOixduhTdu3fHM888g/LyzpOa2GbYK4YOZYvLThRDpFmcbEMRqq+2bRZ3ByRiqBtQxFXofun7xdhoNKwVnFJC0jVL28BZ2XjhQP4GMjEy1qpE8wLpnr4r8OUftt0Zd6V1w8TUWMeyAE3dZI11opiz5CYjIcWQqZvMFF2zaB2xES+UfVyDnANVWG58/OkP+7D9VKznzsQbarmbOgD4OWYZaq2rRqj2HBwLlJWAaaeu9S0ORm6oEY/JltRn4lFZadRqwU1GYtHi1Enp23UYAC67+okr52NEt7H4eo8fMn45Aj2TASUbisSAwXjmxlSE+nubuy07kGXIYTFUWFgo1PXx9fVFTQ13Us6aNQvDhg3DW2+95dw97OxUWwugJtxkfM0YhgF6DXba25Nm8QqleCMNNRYhdHWj0lZDzB4LvFmheWm00dCjZIEuDTK1NMo18mJIJmYIsN28MlY9Gl/+sc/m7k5MjXX8ezQVQ+SN0h4xFGjJMiRzw62yL5OMtyam68TtRTWXe3bF3xZkkukNekn/rrfuGIAXvj/VclcN//s0azkxQIqDNqDFwciSzMWQlu+AiogZsuYm8za3DFFkIM73YG0CXvvlMNeX0Vs8z0u1EZj95QPwM4j1/ITMQYNMcVcPxWExFBMTg7KyMnTr1g3dunXDvn37MGDAAOTn5wutLihOpMZOy5ARNqEPmJa0CbAAae4uUYsXuK5ajcVxbgVhGdpcehBLjMu8GIrXWjgJKoqBhN7cMhkwLOMm47HWvFJvYF2X0eIfzN0Um5u4mCG5govkWFMcsQxJvgt5yxBpTbykEj9PlK7CM6yJlnBQDPE9xUzF8f9uWoMuPmPsr89DYtppXNW2E5AWW7hsFFy0G6tuMqMYUnkLmaIUGxDH04+Hf8Pl2F8BANdWAgPrgCP+wAH/UlxWr0Jk05OCIOInNV9dWYEhwrY82zLk8BEzduxYbN26FQBw3333YdGiRRg3bhxuv/123HLLLU7fwU6PFTfZr+XHzIZv1p+zv4y6HZDm7lM+3WAwXvL6Npy1OM6tIOoMHScK3UUbJ5VJhIbTktdvMojamqvSBN6dMaPfDIxJHCMEIPI3EQBmcSOtzmhhGDFuqCWWIXKmTl7Q5FwxdhRcJK2JJYQYim7ivkePrfjrQCsOvginacmFouoiTN98GzRNOzFlYBek9Qh37DeXNNttH1cZH4wcE+yDAH09umhL0EVbgoHeVfhkUhQmJPmbv4isMdSayZrKWgC1MWbIR95FRpGBmCw1Nf0JALi6Fvj5BPBaAfDrCaDyAHDkCPD8+f8ite4kAFEEb9l7StxWZ8sme+qpp9ClC5cRMnfuXISFhWH37t2YPHkyDaB2BXJNWsFdbB/6fbFZXYid3vV4x4kNHEmzeL3SF/neXdBDewG9GwrgxeqgZ7zcu0YHYRk6R1jYo4yWoe7E5PKvAGA4f3+psCSGbAcNW8KlGS2h0Vx2WHWp1IJhahmyFTNEjm+UsQzZ0YqDtBKWeoWgifGCmtUhrumyxXEegZ2tOBwtwukQttyYbcSE1FiMq9oP5sVZUOiIk2gvOMGy7HNg1DRxvbPcZF52xAxZiBeiyEBMlvwNDQADrCwEyKNSAWBAPTCgvhEzSp/C0H6fo1HhAxaAtoao0ebhliGHxVDPnj2h0WgQFcW5aKZPn47p06ejrKwMUVFR0Os9pGmgp1BDzJ6NsR38xfayTFbzfuPx2OKLrQmmZvETft3RQ3sB3qwOVzScx0m/JPeu0UGY0i94AwZwJzfvJiMtQ3sCCTHUQsuQLazWUGkNfNyQwQBcKhDXm87WWhtAbYdliLQSsowCRepIJGk1iG8yZroZa8y4rTXREna6yRwpwmmz1YEpps122xHlb58BOq35E81NwE9rLYuh1rjJ7IkZomLIfghxHagH0qqB8ZXc43PewA+hQFoN0L+OE0hBei2SGi8iz687AMDfQFxAPVwMOewmsxQXVFtbCx8fD7u4eQL8jTggRKjey19s9QxQSshZLQMc83d+A0fSLH7Ct7uwfjjOu38gLGEZCg6ORalRQPJiqDtxLp+OJoSOxDJkX8yQvfAZLS1yk1iCTK+/+K+4bC21nseRAGo7YoZM08gvqLl9CzQ0IFhfazWN3K2RiKEQi8PsLcLZop5ibuAmEyArkY+eDsPo22EwWm4azp+RpmTbaMVhNyo7Uutp8LT9+ErF0LPnxadWJgAP9QCuHMgt88Q3lQjLfh1IDNltGVq8eDEAgGEYPPPMM/DzI3oz6fXYv38/Bg4c6PQd7PTwAdTETZi8iF5WARHGpo1H/YEmQt46s4Ejb9E49WMl8EYmAOCpPo1QuLMQAiRiaMW41bi0fzaimo0xQyyQRFxPp9y8Gsh5gHtgyTJkI53c4eaVziLUghhyNLXe15ZlyLabzNSaeEEtBvonNF3CCa9A97YmWsJOy5C9RThb1FPMTdxkAERh7OOP7ClrsHJrLjK99qK3rhCKy+cw8qVf8cxNqdxkyRVuMtIyZDCI5zq1DNkPcTyNqlEgpokrHXHWG/iMOL3zCYNcfBNX2JUBEO3VLD7RWWKGcnJyAHCWob///htqtXhQqtVqDBgwAEuWLLH0ckpL0OvFiwiR0h3lLxayK1EBycYJ0QGTY5Ec5wyUCgYpI0cDb3CPFWeOOHX7LoEQQ5NTb0NJ/OvAP3/DhwWC9KJlqCE4DJOuvg/weoirpWMxZsiyZahFzSstYJqSzWelWcSSGHI0Zsin9QHUgDQ+ircMAUCqVwUedndroiXsDAI27SlmSqt6ipHitq593WT8sdDgGyr0KjuvjkbvxkJ4szoYSi9i3vomznrsCjcZGTNkoS8ZxQbE8cQLIQB4IQHQ8RNrFiggnD7xTSWC1XdMVx+xcW5nsQxt374dAHDPPfcgIyMDQUEyF1WKc6mtEAuVETdhb31fKA0R0DOlKCHihg7wxzULKNkIeOv7On+fgiO43melF4AzRyQNT90S0pSu8kZUl37AP1yL+i+vWYXo/U8CAHzjk7nPERLNfTY5MaT0khcTaEXzShmy8rKw4KcFuFBDpGQHxiNjYobloHhLbrLW1BmyGUBt3UrGWxPPbjwNfPIZAGBVWqD7WxMtYadlyJ4inC3uKdZGliGbFk6DQbBa5+v8hE943lucgMU3XcIldQRWbs3F9apKMSbDFZYhOwouUszJPlWGsYwKala08Jz1UeCzSFEYRfjFQaGfDmANACBee0lI+uiWvVncWGcRQzzt3bW+U2HBIlFW14yw5gdwWb0KuUb3uA7AriAIOY9hzQ+grI4wYTqTnoM4wVBfzfX1iuvhmvdxBrxlSOkFKJUSC8pEHSECYo2xUGEx3GerLOEsc0ql6A4IDJNtMNmq5pUmZOVl4dZN0wCTrV2ouYBbN03D15ayBEnLEGnRsccyRM7U7bUMeaksCkMSpYLBFf37CY8VJedsvsZtIcWQjRu6rSKcLc70bIOYIbssnLWVQjXuEkY8xkgrYIL2Eg4F9IWmqhEVhssQrmCuiBlqIi1DNGbIHvgJ3F8KX4TpxXvFu9EPIbw5FrNHBmNCcgpnwdSzMEx+CwqDDiMC67B72VjuWvZNJy66SGlDLIihqEAf+BmGI7LpSbwZ+x4YlOOoP2fKVBoiENbMVQt1WbZOz0HAPq7WFP7NcW8xxNcZ4ruyk4Uq84iK0DFJ3H++l5bBwImg0Gjxd7Cjro4c9lbp1hv0eHDrw8aMK7kNsZi79RH5LEFSDJGYXqDU3tKGtYDUMuTjxwk+lpW3DAkNayOsdh6XEJ0oLpOZbm6MqZtyePwI1JVcBv9N6X2DYMuuY60IZ4sxLbroZOy2cBIWwnIvUaCd9ybEkDG2BAAMfIV8wIlFFwnLUCO1DDkCOYGrU/oiTM+5XAu8Y5EVdh18DUrsPOKDF8eP5kSPAkBUAlCcD//K8wA/qevM7TgobYiFNhBi7Z/hMOBqvBNzAnqmAtHaUHgb+kIBpWtr//QYJC6fyZGm0LobTSZiiBQNeXvF5RjCMsRTXsxduBvruMcWWnG0uHmlCTsK/kBpg0ZeCAEAA1xuuIgdBX/g2u7p0ucsiSFTyxDAWRf4m5nSC/AhiuQxDHdRq68xD6BmWfF1NlxkEsJiOUuSrtkjxJBc5Wg1IrCrwAd817/Rb/+F/0zpb9P1KfQUcxbk7+nk1HryBslCD62Cu64oWfG6Ilg4iazCClIMmViGeHybjMJN6dU6y42l1HrqJnMIcgJXqxB/j7diboee4cS62QQuOpHzBNRWclZS/2DphMlHptimB+HGwR4UAxGserbJR0hVJasZK6CEj6E//PWj4WPoD4VxvurSbJ2ehBj6N8c17+EseDGkkhFDF/4Rl00tQwAXN2StHYqRFjevNGH32dN2bUd2XECoUHpBglyGB5leHxBqbuHhX2PqhmmoFWfjVvqSmaFQcE1yAU4MuXHbHkuVo5vYUvgZuHX1Cm8U1egwb/1hZB93XsamXbjQTcbfIOsVe1DkfR8ueT+JUvWruOT9JIq870OdYo9YOZy4NjX7hwn6nYwZSmgqFsoo+Dcbb5oBIfZbFOWgbjKnQE7MDgVw95Jc3yR8E5ZucRxiEsXlS0Z3Nz9hUqnbvE+es6FiyE3JPq7BW9/uFx7/d18pRrz8u3DxJWv/kMQE+7i+9k9UV9G1csbNxRB/wRTcZBYsKLEWLENk9pQFMWRaV8cUe+vqKBFq9Xmr4xQK2V51Fi1DPIEy2+JfY+omszOTTBbeVVZfIzYVdjOsVY4GAwQb68lWK/2FESu35krr6bgaF7rJSmo4IXRZvQp6plTynJ7h+lPVK/ZwN0jiWBg5uA8A7jivVfqhQsntI+8mWzE5BQyfidcaFxlgOYCauskcgpyYPZvwIP7vilX4vytWC1YhuXGy7m5eDHl4Wj1AxZBbwvvtlbVi9ekKryDBb08Kot3LxmLDnGHI+L+B2DBnGHYvG+v6tGWGEV1l5cXSmjzuhmAZMprX5dxJKjUQHmd83sQyZEeNIWf1HRvTbTSUhgjT2GkRlosJG9NttPzzpp9NoRRFIImfiWXIFNIyRFpx7KgxZBHJrLLAsde2EdYqRzMsEGas51Wt5G4Y7dJjzYVusnB/FcpVH3APLBzI5aoPEO6vkhTf7JvcQzIx4+OGYprK8N6MfpiQEi0Gn8sET+sNeuwo2IENf2/AjoId0BusdDGwFDNE3WQOQU7g9IwS+wL7o9pLFDSyEzhSDBUXcP/5CZOHxwsBVAy5HaTfPlQvzvwqvQJlZ6MuqWZsDxZcZXoDi71nyvDtkSLsPVPWtrNmOUxjhuSsJ9GJYnkAU8uQhbgtU5xhqUvrEYke6oe4B6Zfm/FxD/VDSOthQYiYWr38AuVdEhIxFCLzvPGGa9BLXRF2VJ+2CO+GBNxWDFkrUnptFeBvzDY+6yPNomvTHmtqH07kAk53k2mVJ6BXlFqNWdMrSqFVnjCzEpITs/AevQEAShgwPrKZsx4YM89MLUNZeVlIzEhE+rp0zMyaifR16UjMSLTcbFqpFD+/pZgh2qjVJi2awFmzDHUAMUQDqN0MMrAtWEeIIaPp2d7MJJdjGkQ9dKJTiw46Bb2Ou6EDohhSqTnXEOmqIW/U1ixDNlpxtLbvmFLBIGPKg7jri2aUqz6QuCqULJclmDHtQcvbM7UMWUh1NfgGCbOgUvgh1MBKt2lahdr43RkqLwuvy2/2RVfT11lDblbpZlirCD2HMH5+FX615Lk27bHGMFzMV02F891kdfZZeEvqimWFMT8xQ58U4O8fuOeK87ngeSOsfzB2FuyApkaD0+Wn8eyOZ83ckkXVRZhmrdm0Ss0VWSSFOll0UU1jhuzB4cbRptZdg6FDucmoGHIzyFlmmE40g5Ppq6bj2gUTy5Aziw46jSbiYkm6i0KirYghQlBUmF70bYtP4YbQQiakxuLTmQ/j2e9Go6D2LyGbJzFgMJ69rZ/179BUDMnEC2Uf16Dunxrcanz8U4EW77z8u/TiJ2kGWgMERyD7uAb/fLMXjxpXv76/HH+V/G6/0HXj9Hq+wGB5dXdE+cXhcr1GcoOOaAZuNnrCLqkY7AzkbtAM4NqsTUv4BrpEDDnURsRa/Bh5PhXnS47LDQXZuGPd11a3z4IFA8Zys2kvXgxRN1lrcWgCFx7HJWnoddw5TH7n1DJEcTbkLDNcx/nZ6xXeaFD6WBzXLsT35rI2tA1g/82RFB3s2VCIPg0F2BaShiaFyqGig06lmRCMZEpuaDRw/qT4mE+rB7iT2jeAm/GYuskcDRpuIeIFarBjFiZTN5mJZYgXrI/rxLiLKmWAuWAlL2yNteLrasXvopyIYbNL6LppzJCpNZNVzAbrvQqc1OGO6LtLALXx4N4UfjV0Ch+HYsGcDv+7Orkdh0NtRKqXi08EmohBUzGU0Ed4WGSos2tfyGbTZqUJ+Lgh6iZzCnZP4JReQCRXawiXCkxqDHl2wUWAxgy5HWRgW7iuEgBQ5hUiPO82Hb+VSiCpP7dPmjOoLedulOlVB5Gd9zDeKngFsy5/D6CdAk0BSV8yqWXIJG6IvHgDoqusXGN3zJCzaVEsmOnnIkQNGYtWqxRvFlVeAeaxaITJW19XLbyOtFRWeAU5llEVGiOm3rqJGOJFHuki8DMMR6T2SSgNxt+aBe4Xy+UgK+weAG2UtWkJvjSCtp6rku4k+DYigNg2hMesjQhvGQoIkbjBAJiJIT1RnqLSwem3bBwXP7GRiCHam6xN4C28NRVAaZG4vgNYhqgYcjP4wDYFq0eoMWaozIvrg9Sus1E5CFdZcn0+rqzNwztnX4IXuGDJ1PozkuFt7tojxZBKFEMGE9GgjzYRQ3wQdV0V15qDxw43WbtiJWaIjEWrUooXrkov81g00r12Kl8jvI4UQ/wxabfQdbNaQ6YtVCaX78SrBWvQo+E8/AzDEa/9CMler+HngU+jj/E+W3XFcCycfUPbZW1agpyFy1UJbwV8G5EuQV0k6+OD4qUxPGQlclOiu4nLxfn459wB4WGVg2JI1nXHi2pJzBDpJqMxQy6DtPCeOyEudwAxRN1kbsiE1FisvTkJihzuUs3feCwGtrUTx327I9W4fHP5dtxQuRu+rHiB8mGbJOPb3LXXbB4zlH1cg3N/1+FBYtjEjeexeGqc+L2SQdTkCS9Xk8edsBIzRArRn0PS8OClr6FnFPglWBoMXFLTKLmw1VZWAOBuLvHGujE6KCRVh023b5HoRKDotFhrKKj9rJukOPTTN+CVc2/Al9Uivfogbuv1CvJ9uqC+pg8G/fWp8JrgqfMxZWAXS5tsO0w711tpGtsSbLYR0TVzVYgBedex2oeLLym7CBTno67iovBUpZ2dSCQuOVN4NxmNGWp7yNi/guPiMhVDFFcxNka0/PTs1R0b7hvmUGaSq8k+rsG7x7zwrfHxzLKfzcb4Gjgx0m6Bpk3SmCHeLXK7Xjxxq5T+OF2vksa+kOn1FUYfSaCFCs/uhBXLEClES1WhGN13LVgwZqn3UYE+kteFMdwNR2VoRs/G8wCAMz7xaFaozF9nC9Mg6nYUQ6R4C9XVCCI+QleFz/59Grf2egUNCh+EHOWOcDYgFMzIW2W31ea0Qed6q21EaggroKUSCzFJnBiqLEFUoyha7HGTmbnkTFHJxAzRoottgyUx1AGyyaibzF2pLBEWu/VIbNsaQjbgXQwnfROhMzmETviKwci+Bm37uvYIMWRQeQtukVIv0cJzXh1jHvtCWoZ42jBeqMUERYj1kgDJTdO0SjbLKCRCSBKLRszyugewiA32wRWN56FmuaqDucRv7FAMmxsFUZPizceglTwX31SCT/99Bndf3gqVnnvuq+DRyP7HTSpnt0HneqvYU4mciBtKuOxYzJCZS84UPmaoWSu6W2k7jrahA1uGqBhyVwgxhGCZQoHtCO9i0CrU+NcnQVh/xrsLZvV8HgbjLdfboG3fQFNCDF2sh+AWKVWFCOsLjdVyJbEvcmLI3eOFAECpBEvM1AsblLL97GwWWSNmeYrGWqyYnIKUhrPCuly/7vKvs4Ub1RoixaEPqzV7vndjIR7TfC48/jjouvbpRSaHizvX24QsN2GpEjnxWzNnjgjLVSaGHt4KtHLMSnwx9Qtsv3s78hfkWxZCgOgmY1mxjhi1DLUNZDzY5fPiMhVDFJdBtj4IcbD1gYshXQzfh3I+/SJVJO7q+TzKVAFoMLpQorzrsfPx0e0X40TEDNUYxKtwnm8iLqk4S8ZvcjEzYZ4phrKPa3CmWewc/fHhFvazk7hhajEhNRYPdxVvurxlyGGh60a1hkhx6EdYhrKD03CZyN4EgBy/3jjpmwigHXqRyeHClhx24aBliJzY+YRIz634oHh8Pf1rPDP6GczoNwNjEsfIu8ZI5Fpy0JihtiGii1gBnKQDuMncPAiiE0NahuRaSLQjpIvh7Zjp2B48BGd84lHudRjlqqWoUzbB3wA01hehx5tJyJiQYX2m5yoIy5Cfvz9gtNZrFd4Yl/wOYppL8Y8PN9NhoYdWcQJHSovQRcViiOm2HG0/0cbw8VCfKoLR07iuTulrVgvIriJrJnWGACCx8rSw6s47bsLDMXGOx7C5kZsMEMXhT+tEc/8p30RkxM7AxtPLEaTnauJ8GXE9ADeq/u5ObjJrMUMy7FtwErsu58gHZtsLWTNM1wTAj7rJ2gq+1pDp+dsBLENUDLkrbiyGeBdDcVUjWEaBE349hW7XANBgtDf6Guwore9KiKKLCTGhiK0y7jOAaq8AoTFhvWIP1/5CUYpn/wQ+0AJFpttyY8sQmSZeSlg16hS+YAGzopc2i6yZVqBmWYB3dUTEY+I1/Vq2o3ytoeYmtxBDgLHA5ZRewFHucYPCG3l+3XFPjxV45VwGznvHYEvYGMlr2r36u7PdZCwL/PA+8Pcu6XqVGrj+HqD/KOn6agctQzwKJZR+QZYDs+1FRVqGjFY93k2m9DKve0RxLjGJ5uevTLV7T4OKIXeFcJNt0fyJEK+qls2iXADvYpi3/jAYAAboJd2u641iyM9gR2l9V0JYhhRqX8k+844OUsTxlMhdS91YDJFp4pdVYnB4rZKbITts0TC1DBUXiO6YHgNbvqN8raGi02KtIblGsk5Eb9BbThE3oiSsCg0KzurwV0AKru37vuw22736u7PdZCcPAG/Mk39u//fAlxppJqU9lqHIeM6dQnag9w92zu9tzU1GXWSuh3R383QAN5nHxAxVVFRg1qxZCA4ORnBwMGbNmoXKykqrr5k9ezYYhpH8DRs2rG12uJWUXswTlm//9RHb3ZzbGDL+RKuQdrsmxRAgLa3fppjUGTKNmWF5EcdAElWsUwCXTacJbuwmIy0V2SHDoWW8UKwKwyH/FIvjrEKKofqa/2/vzeOjqu/9/9eZSTLZJgnZJwRIQMoW3EBkleBC44LUiAtUhVtr60Il8qsbtgVqAXErfKXVYu8VvIjL1VC1aoQKQRSQzSiByJoQCAnZJ/tMMnN+f5w5cz5ntkwms53J+/l45MFZPmfmw5kzc17nvUpWIaDPYshkNqG4ohjvHn0XxRXF4MUATLHWkA9xuyM6E2+iiYl11bQ9OKq/21ru+svF08736euBugvybe5YhtRhQOpQ+bbYBI+mZwcrhnpsxBC14vA9jsRQCLjJFCOGFixYgJKSEhQVFaGoqAglJSW4//77ez0uLy8P1dXV1r/PP//cD7PtH4VlhWisFnpnNasBo+VTEl1OwSSIvnn6ejxyvdzaILrJwnkgzCxtd1ha35fY1BkCpDm/+9BkPHSjQRBxDqiJsNkQxJYh1lJxJHYMrhm/BdeN+290qKOcjnNJlDyAGme+l9b7IIYciZGtdfukAT50lRWWFWLeB/NwoUV+I3f4HWIykW69Rp4pJxJU1d9jmJghb7jJuph+YQ++AGw+A9zKlCWtlleSd8syBNi7ymISPJ6ijAjbmCFI7TjIMuR7SAwFjrKyMhQVFeGf//wnpkyZgilTpuDNN9/Ev//9b5w4ccLlsRqNBunp6da/xMQAP9X1gslswpKiJUjtFtZZl43YPLGgqAAm1vwcQNQqDjMv+5lsWwfjhYhixNDxuuMorij26dxZS8TZS8elHUxvMjFmZkRaj9PXqbF1lQWxGLKtIdQSFgsjUxTRHYuGzIJTtRe8GHfR1eaRZciZGDnOMTdeH4kh8TvkqNmow+8QYxm64rLB7mXcBZIoL7vJWDGUOgzQDZd/zhdtxJBoGVKpXFt7bMWQLyxDovVX/AwjKHja57CJECIhIIYUETO0b98+xMfH49prpTToyZMnIz4+Hnv37sWoUaOcHltcXIzU1FQkJCRg5syZWLVqFVJTnQckGwwGGAySe6Wlxb+pq3sq9+BS8wUkWH6n62xuyi67OQcI227XHYzEjjYD4rPrX/b8BX/Z8xdkxmX6JMOssKwQS4qWWG/AyyuBFeLOCHuriMO+RxaUZBmyjeFiJYA7Fg3b8wYAjZwKgwC5myxa6zRLiMWVGClnPgZz9VmfPI3tqdxjJ8JY7L5DbFp2RJR7GXeBJNrLbjJWDEVaSjOkS4U1UXNWPl60DGmT5EU+bfGLGDIKsWdedJOZzHzwfvbBAMUMBY6amhqHAiY1NRU1NTVOj7v55pvxzjvvYOfOnXjllVdw8OBBXH/99TKxY8uaNWuscUnx8fEYMmSI07G+oLq1Gind0rrDYF4EwOXkAttu153MVcVahkR84e5zZInQMO/9dfUBu2NEEWfboRtwYBlyFhsRJLhdQ8gGZxacFpVw8nrqKqXiasOvdH3zs+BKjFQwHo6LZ/b2+lqe4O53wzqOFUOWm6loPZx75eCgqv4OQJ5a7203mSiGMkZI25xZhnr7TtiIoWq+0ztW4XCbmCG2EnU/3WRFpdWYvnYn5r+5H0veK8H8N/fLanURsK81pA6TfyYKJaBiaMWKFXYBzrZ/hw4dAgBwDrIQeJ53uF3knnvuwa233oqcnBzMmTMHX3zxBU6ePInPPvvM6THPPvss9Hq99e/8+fNOx/oCnVZndZEBzsWQK6tGIGC7XdtahmzxtrvPmSUiknnvVw/9ze69bEUcyyWb77YpJrjdq4A8Hmr9vVf22l3dlQWnzfIZhrHNMN10kbkSI6wY0pefwr4zDV4vYujud8M6TmnViyNjpKwsX1mGUodKNzw2ZsjYJcSRAb0mFRR3nZOtby3/wjtJIGydoW6DFC8E9MtNJtbqEjMzRcRaXSSILIi1hkSiYn2eFeoPAiqGFi9ejLKyMpd/OTk5SE9Px6VLl+yOr6urQ1pamoNXdoxOp8OwYcNw6tQpp2M0Gg3i4uJkf/5kxtAZGBsu/cjYusk4cBgSN8RxN+cAkz8mHxVLKvDzcXdYt0U70TrezDBzZomIZO6x5zprHb4XK+JY6sIlV0S7KhLT//qtIn4M+2LRcGXBaXVUAcFNMdSb+9FgmRJXU++TJ29XFj/AwXdIadWLOU6K0fB2zJAohsLCpWywi2cky0uL1GfM1jLExp39efefMf/bZbL9zWFesgrbuskcWPb6Cluryxa73oUEeMZVZgiPDonzElAxlJycjNGjR7v8i4yMxJQpU6DX63HggOTq+O6776DX6zF16lS336+hoQHnz5+HThdcVhUWtUqNgtELrOusZajXbs5BgFqlRmbyZdZ1R24yFm+4+5y9BmsZ6lI5HyeKuF0Ld+HpSX9DmmE1uvknrfubwrQh+XTo6ty39UMMuRIjPAecszzYDzHoAZ73+rl1ZfFz+B3yws3U74hB1L5ykwGAzuIq62iROtU7ySSzzRxcXrwcNeGQWYmb1cJDEI9+WoVtU+v7KWZNZhPe2PcJTrd9iS7Vj+BhPy9Z78IBTlFpNT6rlaxzlZ3qkHAlKiJmaMyYMcjLy8NDDz2E/fv3Y//+/XjooYdw2223yYKnR48ejW3btgEA2tra8Pvf/x779u1DRUUFiouLMWfOHCQnJ+OOO+5w9lZBwTXRUjM8Vgz12s05WGB+kBy5yVi84e5z9hoaGzHk6r3UKjVmDJ2J3SWjEGm+HHXhUsB0kzouJJ8OXZ0PO8uQOgwYNs6t13UlRsBLrjKtuRPxpjafnFtnFj+H3yGlWYYAKW7IV24yQMgqExHjhhzUGHIWdwbOxi1qTdfpp1XYNmaIdZP18fMTRdzi//wC9REv4ZJmGao0D6JD5TieLeDVxwOM6Eo8xUm/j+2qyJB4WFRENhkAvPPOO3j88ccxe7bQJ+j222/Hhg0bZGNOnDgBvV4PAFCr1Th69CjefvttNDc3Q6fTYdasWXj//feh1QZ56XC91IrjmdtewdzBOs/7+AQCpjdQjBMxxIFDZlymV9x9ttlsIqxlKCkuo9f3Yis5XwpPghkcVOCtVZ2DpjeVl3B23gAHlqFhY+X1XXpBFCO2WWpqPhk14ZkASgAAQ4yXoA/T+uTc5o/Jx9xRc3utQK24mCFAyijrbO1/JW9nYogNoq4+C4yeBDQzDaTjkl3GnQFC9uBYi1ZptjntVS0XPZsvGzNkNNiIWfdjhkQRZzt3E1ePuojVSDEuQ7RZ7nkIePXxAMK6EqsipISmDidtf5SGYsRQYmIitmzZ4nIMz0sXdVRUFL788ktfT8s3MD84V466CVdme9gLKlAwN5QokyB82B8cb7v7REvEvA/myd6LjRlaftPqXt+LfeprCYvF39Puws3Ne/Fm2h1OxykZZ+cNcCCGhl/Z59dnxcinpcfwzt4WaMzjUBPxEUQxNMxQjdJoya3q7XOrVql7L0EhS61XyM1OdJPxvCBm+lPnhRVDrJjQsWLIsWWotzIGp5nTWW8T/9jcGgOPsHWTeSBmXYo4S32KxvCNiDJcCw5qcBAyMwNefTyAsA+LFxgx1K4WK/or+2FREW6yAUcQN2l1C+YHaenVD7vnqugnjtwirGVoTs5dvb6G7VPfy4MfwA3j3sA+7RUuxykZZ+4kWWE/AObh8nPgLqIYmTfmXkSaLwcHNSo0Gdb9WV1y60BAzq21r1WUW6UDggIvdq7nLWKoJzwK+8qbJFcl6yYTxRAbMxSf0mvM3z/SgbMa4IsE4DvxkuIBtTkZuuirPJuwnZus72KoNxEHDjCp6mFQHQuu6uMBhH1QOROZCZNFPtSGJzodpyQUYxkaUIhiiOOCutifU5iny6sTR6Pivzb07qrwArZukQk1qwD9MWFneO8uHrGSs9jZ3pZQfTq0PW/n6yOgfvdjAP9rHfO7AzzmjK72uAIze25ZMZRtEMRQQM+tEpt8soUXO1sBePa5FJVW4/JLDcgA0MxHYP6b+6GLj8TyOWORl23jJgPsLEO6XtxSZdHAiAmQqn9avliJ3b+BLs4LlqFuI2Dse8yQu4kbJq4J6eL5CIbq4wGEfVCpC0/E8iG/xeTWo/hH2p1OxykJhTwGDTDEjvXaRHm3aKXA/iAZOq3Wgfnj5yM3K9encU/se8VzFgEUFg6oe39PsZIzEOS9qXyAeN4Gcbl4/ctIXOqWi8dvzYP7FSDJnttzGummkmW46NVzazLz2HemAR+XVLlfw6hLgWLICy05xGDYiB5BTHSqhJuYNRi2vF1Kn7/owDIUl9xrGQNrMIkFNZ+MFOMyjNBe77nwta0z1NX3mCF3EzdW3DLNZa2ugYRt258tKbdi8fBnUGn5PgdNI2MPITEUjIiWISW6yAAbMdThfJyv6baYa92wCol4Wsk5FGADJMU4AECID2gOE26+/cn4Es9tXOIgXLKY1ocZqr12bj2tHsxbrtEW9Pi8d57X6GdLDvazjjYL35MOlfA9YbP7eLEtR0OVUHDRxjLUW+YgAMQbf4lk45NIM6xGpuG/EWOe2j/h64XUendrUT085baQfPjxhFB/WCQxFGx0tksBjYoVQ8zTWSDFkNi1vo9BsX2t5BwqsAGS7SrpMzweJdwQvVFrRTy3UVlCSYyUnmZ8s3iiV4SQJ9WDC8sK0d0hZKCe7qjGrM2zvFMl2df0syWH+FlzvBnRZqE9kWgZAqTPukGbadnAAzUVkmUoPMIatO0s7iwlOgM/C1+OBNN8xJhmItJ8OXTxMf0Xvq5S692sE9XnWlQEgNB+WFSgDybE0TOpq4oVQ3I3WcAQO1qH992HLVZyHkiwgY/1lnICAPAjk+1lO84T1CoOcSPGAqf2CevVpwHtBI9fj7VyXN1Whqcubsa/B12HLSm3uEz5LSwrxL3v3QmjxYIhFggUqyQHdU0v1k3W3nc3mfgZRpqldisdKvvvSUP8EFhLK1afkSxDccmydH5nZQwAlfebntq145A32nUXZ+UfMuMysS5vXfB+9gEm6BsZewiJoWCDFUPxKYGbR3+IDBI3mYeWoYEKG/j4Xew4vJc0G0k9zXg75Tan4zxm8EhpueoU8DPPxRBr0Xq85j1MbivFxLbj+GTQdWgJi3WY8iumVrMZhx0WIwAPHhw4FBQVYO6oucFpHbALoO4b4mcousgAyU3GorZt2Kp33qTVWRkDrz9U2AZQc57XiXK7FhUhIxQfFkkMBRtKT6sH5E9ngbQMGfseMzSQYTO+zJwazwx7XLbfqxlfGYy1qcp5r0B3YC1Vad1C76wwmDGx/Th2xk9yOE5MrU5lxRATNMD2zuu1TlEg6KebTPysw2qlc9LJxImJn3X25ZdLB5X/KFlbe2nS6lNs3WQ88yF60E7FrVpURMhDMUPBRiiIoWAJoCbLUJ/wa4Akaxm62D8xxFqq4nqkAoKTWkudjhNTq6OdiCHbcUFHVP8CqMXPWm4ZEs6P7LMezIjWn76Tlh1YhvyGXaNWz9txEIQIiaFgIxRihoLBTWbqAcSsIBJDbuO3AEkvWobYlN84U5u0vV2oMeUo5VdMre5NDHmjd55PiO5/an1ejg4rZmdJL2MRQ7LPOlEnWVbPHZMODqhlyEXMUB/acRAEC7nJgg3WMqTUmKFgcJMZDdIyiaE+4ZcAychoIHkwUF8FXDzdr5cSrRyL//cgtGbpehvffhpR5i50qSLtLFpianVMqxQ428GEiXizd55PiPI8ZshkNlljZMaoJcvXtJyhePfuyfLPWqUSKlFXlgkZZSLBYhnqMQp/ImQZIjyExFCwEQpuMrVa8Ot3GwNnGepmMp4oZqjP+CVAcvBIQQzp64G2ZiA2weOXysvR4R/5I4DvpW3hMOF6VGDOfQvsLFpiavX/e1OqnitahhSRWu1hO47CskJZ9tRtjcCnln0/G5oOOPrMRTHEEkwxQ+QmI7wAucmCjVAQQ4D0oxQoMWRkxBBZhryCyWxCcUUx3j36rneKE2bYZJT1kxsy7UXvazmtTl17+WPysWrac9Z1UQz5onee1/HATSZ2aWfTyGOYj/BH/RnHB7INW0WCxTJk+8BFYojwELIMBRtix3qVul9PygEnIgpAs8duMtaU71G6azfjJvOgzhAhx9aiAAiiYX3ees9Fg216/ahr+jfJ9ma7Tapj37g8ZFqq1Cz0jisW4PrbH1JGajXTpb6uvhzHKopdzttZl/YYJmZq66mPMc5ssn8NR2IoGGOGOE5uNSKIPkCWoWDD2oojRTkdtB0R6bllqLCsEFnrszBr8ywsKFzgWVVgsgx5DUcWBUAqTuhxtWZbMdRfWpvstx3fB/R0Oz+GuT6vyprm89553qLw5CfoUAvuvJq6U71+R5x1aWctQ+eNTdhTucf+YLZ7vUggLUO2bjK2txyn7MJ/ROBQ8N02BOF5QK/wvmQiHrrJvHbjNVLMkDdwZlEAYN1WUFTgmcvMixllABxahmDoAE5/b79dhG3y6UGNmkAgfkdaVML511pOvavviLMSAaxlqF3tZFxGkFmG1OHScg/TtZ5cZEQ/IDEUTHS0CD5wAIhXuBgSM8oMnfIsFBd49cZLliGv4MyiIMIWJ+wz7E3WG2KorVlaHslUtD76tfNjPGzlECjY70irxYAVZ/k6uPqOOCsRwFqG2tVOxqVn228LpGVIrRbCCAAha1T8DCmtnugHJIaCiWa2xpBC0+pF2KdsVpi4wKs3XhJDXsHdooMeFSfURAEpQ4TlfhZeBAC0MW6yKbdLy6UurheFBd+y3xFRDGlNsHaId/YdcdalnRVDsdpUx6UEIiLBJ0tNWE2aGJgCHYcnWntt3WQE4SEkhoKJUMkkAzyqQu3VG2831RnyBu4WHfS4OKEYN9TaBLQ0evYaIqxlaOxUQGspslj6DWA2OzxEdm0qwE3GXvstFjEUzgMa3vk4wHmXdtZNtvi6px3GSxWVVqOkW0q5r+ZjMH3tThSVBrA6txg3RG4ywkuQGAomQkkMeVB40as3XooZ8grOLAoiHDgMiRvieXFCbwZRs5YhbSKQM11Ybm20r5Mj0qUsyxB77bcyuiWux/k4EbFL++A4ycrDWoZuGHO73TFFpdV4ZMsRnAqTfo8aw+JQo+/CI1uOBE4Qien1Xe1SgLwCxCwRvJAYCiZCoWO9iIuWHM7q1Xj1xttNbjJv4MyiwK73qzihV8VQs7QcmwCMv05adxY3pDA32YyhM5AcpQN4uRgSg6jBAylRGU6/I/lj8lGxpAK7Fu7C1vyt+PngadLOyBjZWJOZx8pPj4MHUBmRbt3eFBZnjepb+elxmMzuxQR6FVEMsZ+5AmK+iOCFxFAwEbKWIemG4ypt3qs3XplliMRQf3BkUQC8VJzQiw1bZZah2EFAjiQILuz5EvvONNjfuBXmJgNUSOz+DQDJTQbI44YGdT8EVz/tYpf2+ePnI1nFfE9txNCB8kZU64XvUaVGsjQ1qoXq1zyAan0XDpT3073pCREWa2+X1JhXCWKWCF6o6GIwEWRiqF+FD2UxQ4KbTEwJts0WE1OCxRvrh3d/6LDA37q8de7feClmyKvkj8nH3FFz+1cI0xF9SK/v9XpkrQTRcfjSkI7rVJGIMndBdexbzN+4D7qEKCyfM1aqSq0wy9CB8kYYWq9BimoZmsL+CkD4bs1tBEqjk5HY/RsYuq7BgfJG99qpGBgxYSOGalulB4qTkUOty1URqU7H+Y0wB8UVFSFmiWCFxFAwEURiqN8Vh23cZL2lzXPgUFBUgLmj5nrnxksxQ15HtCh4Fd1woVAez7sUQ25dj6JlKCYeRWW1eOTdo/jfmFGY3voDMrrrkWmsRZU+DY9sOSJ1ZVdYzJAoPKLNU1GsTcOTeAJhMOO5C2rsjf0TTkUNl43rFdGyEq4RUtYZUrXSQ8RP0dn4q24BRnVW4H9TbnE6zm84EkMK+PyI4IXcZMFEkMQMeaXwIesm6+roc9o8a8r3qCowpdYrg4hIINVidag65bAmldvXo8UyxMckWGNdDsTmWMdPaiu1j3VRmGWIFR4nokfgjbR5AIAI3oSXzr0GNS8ED9W3GtyL5RHFkI1VCAAmZSdCFx9pdViv1y3Ao8OX4VKEUGOIA6CLj8Sk7ESP/z8e4+gBh+oMEf2AxFAwIVqGwjXyRox+xGuFD9kbi7HTt/VqHEFiSDmIDVvb9UBLg2yX29ejqcdqGeqIiLPGuhyMHWsdP77jtOU4JtZFFEMqlSL6WtkKlNd09+JUpFCr6cqOU3iw9l8AgOc/K3Mv/d2FGFKrOCyfI5w/25QGcX35nLFQqwLQAsPRZ6UAMUsELySGggSTmYex4RIAwBCbDFMAEjQALxY+tHGT+bxejS1MzJApLNy73dYJr2IeLMUNHT1wSGbRcPd6/Pb0f6wp1h0RUhPTi+GShXVQj7y7e21rF1O9WBl9rWwFikEVgaeHPg6zRZ4svfgOsruqAMC99HcXYggA8nJ0eP2+q5EeL3+gSI+PlFyNgYDcZISXITEUBBSVVmPGC/+BqqUeAHCyKzJgRc28ZsGxcZP5vF6NLYxl6I5t8/vX9JXwGUWl1XjtJ2n9rQ+2y659d6/Hxroz1mVVnOS2aQmTbvJxpnbZManaSEVWL7YVKEdix+B/UoUaQZG8EWsq/wwDVwIzBNHvNP2d53sVQ+L7ffP09Xj3oclYf++VePehyfjm6esDJ4QAJ2KI3GSE55AYCjBiUbOOxnqEQSgH2xCeELCiZl6z4ETK3WQ+r1djC1Nn6HxnnWxXv7utE15BvPZ/4KVkgSzDRdm17+71mKGSrrdBqSlWV1KrWrrJa02C8JHFuhiUJ4YASaD88dYxAIDnB/8MZzTCz/nktir8oukPqNI8iHbVXufp790GqTK3CzEECBapKSOSMPfKwZgyIikwrjEWhzFDyvoMieCCxFCg2PJnmP/6ELpe+jVWnXsNz59/3bqrISw+YEXNvGbBYX+YLE/fPq1XY4OZqXrdZXOV97vbOtFv2IJ+FZoM6/Zsw0XZtT81c7pb1+OE2OHWbSptotWVZOLC0K4SLChxpjb7WBdRDCkwLVut4pCs1aBDtReVUS/h15dJvTUW1QImrh51EavRodrrOLusy3lafdBDMUOElyExFCi++QiqL/6JX1R/jgUNX2JOkxSDUx+WACAwRc28ZsFxUnTRtgLuroW7UL6k3KtCCADq9Oety7ZiCOhnt3Wi37AF/c5HpMFk+SkaaqgBIF37h8/p3bseO1qlHTEJMldSi8U6FGdql8e68LzUKkahN9KkmHA0hm8EABQnADXhwnadEdYo58bwjUiKCbc/WMliiGKGCC9DYijI6OIi8MWgabJt/i5q5hULjo2bjKXfafNuYOyUbo6OxJCI17LXiD7BXtPdqnDo1ULQc0JPq904t65HWV+yQQAkV1J8shBEnarqkse69HQDomVQoTdSg/oYTKp6q/Cps2ielB4IipIDTKp6GNTH7A9maywpTQw5tAxRzBDhOVR0MVD88UP8cKYGT330o2xzdXgyWsJiZdsCUdSs34UPHbjJ/Ek0Lykgg4vwBq9lrxF9wvaa1ofFINHU4jjIGW5cj2z16ZgE66JaxSF6UCJQDagN7YC5B1BZFIPCagw5ora9RrYuiqEoMxBrAtrCHI8DoGzLEMUMEV5GMWJo1apV+Oyzz1BSUoKIiAg0Nzf3egzP81i5ciU2btyIpqYmXHvttfjb3/6GcePG+X7CvTF4JHJ0l6HlWyNq9F0OqqgID3vpgSpqhn5WHNY4dpP5i0S19P6OLEMcOGTGZXove43oE2K9HPHab7FYhuJM7eB4M8Cp7K59l9ejA8uQldgEabldD8QLRQOV15fMHlsxX8t4w1J6JDHkUPQrWQxROw7CyyjGTWY0GnHXXXfhkUcecfuYF198Ea+++io2bNiAgwcPIj09HTfddBNaW1t7P9gPBHVRs/6ice4m8xSTmce+Mw34uKTKcdNNBq7bKL29zVXuk+w1ok/YXvtiXI8aZsSaBRdan6592471LIylSDZOYa04HGGb8FDHiqHuXhIeQk0MKfQzJIIDxYihlStX4oknnsD48ePdGs/zPNatW4fnnnsO+fn5yMnJwebNm9HR0YGtW7f6eLbuE7RFzfqLl91kRaXVmL52J+a/uR9L3ivB/Df3u67FZKkzZFaHQRefKdvli+w1ou84CnIGgBHR3X2/9m071rPILEPN0nIIuMlsEx7qGFt/qlCD0rnoV7IYchQzFEExQ4TnKMZN1lfKy8tRU1OD2bNnW7dpNBrMnDkTe/fuxW9/+1uHxxkMBhgMUvXilpYWh+O8SV6ODjeNTceB8kbUtnYhVSu4BxRpERJh3WT9tAyJ9Whs7UBiPRqHN05LnSFVRCQqllR4v9s64RXEa7/++U3At98CAD66fxzUl/XxIcCVZYhdZ8eFgBgCpISHJUVLUBsuVesepR6E/7r7n85Fv6LFkIOYIXKTEf0gZMVQTY0QMJiWlibbnpaWhnPnzjk9bs2aNVi5cqVP5+YIsahZyBCukbqR9yNmiK1HAwAxpg7w4NChjhKTZbDy0+O4aWy6XDyKFagjIn3TbZ3wGmoVhzRdurTeoe/7i7iyDLnjJlP4jVQMMC/b9hfgHysAAC9OehIqV9bPIBZDJrPJ9QMMuckILxNQN9mKFSvAcZzLv0OHDvXrPTibfkM8z9ttY3n22Weh1+utf+fPn3c6lnABx0k/Tv1wk7H1aAYbarH/6EIcOPoAMg1CHzentZjE3mTh1KRVEbBBz6ywcRdR5IRH2DfmDWE3GYtapUbOyFnWdZVN01s7glQMFZYVImt9lusWOo7EELnJiH4QUMvQ4sWLce+997ock5WV5dFrp6cLT5o1NTXQ6SSTe21trZ21iEWj0UCjcWCC9TK9PvmEApoo4Qe3H24yth7NrJaD0JqF17pJvx9vpc51OA6AzDJEKABn1ht3EQVUTIJ9w1V33GShciNNkFqboLnW9dggFEOFZYWY98E8a5V4EbGFjjXWj+oMEV4moGIoOTkZycnJPnnt7OxspKenY8eOHbjqqqsACBlpu3fvxtq1a33ynu5SWFaIJUVLZN24M+MysT5vfWgF9YpP2/1wk7H1aNiu42nGBqfjAEhiyFFsARF8OLPeuIsocmxdZIBzoRUCqfV2JKRIy811zscBQSeGTGYTlhQtsRNCgFAxngOHgqICzB01F2rb73VEJKBSTD4QEYQo5uqprKxESUkJKisrYTKZUFJSgpKSErS1tVnHjB49Gtu2bQMguMcKCgqwevVqbNu2DaWlpVi0aBGio6OxYMGCQP03rE8+rBACQrR5qBfcZGI9Gg7AIKY6sa5bEEOyppssZBlSFs6sN+5gMgEdLfav4+i12XikEEittyN2ECBamPXKEkN7KvfY/S6yyFro2LrJQuXzIwKGYgKo//SnP2Hz5s3WddHas2vXLuTm5gIATpw4Ab1e+rF76qmn0NnZiUcffdRadHH79u3QarV+nbtIn558QsFlJpqt++EmE+vRPLLlCBJMkhhK7653XovJ1CO1WSAxpAz64yZrZwSOI8tQiGeTyVCphKKSTZf6JIa+ayjF2a4TAXXZu9sap7q12t5NRi4yop8oRgxt2rQJmzZtcjmG5+Uig+M4rFixAitWrPDdxPpAX558QiL7SbzB9HQLf2EOmkW6gViPRvsX6cdbZ6xHenwkls8Za59Wb5RKI5AYUgj9cZPJMskS7PcPJDcZAMSnCGKouVbI5nSWMMKIoTs/WYgqi+cpUC57d1vj6LQ6QG+TMBEqYpYIGIpxk4UCfXryCQVknev7V2soL0eHqanSj3qmuQnfPJnruDBfNxNMTTFDyoC16LT2MZtMVmPIUcxQvLQcwtlkVuItcUPGLrkrzIaahrPW5XbGEBQol71tNW1bZNW0yU1GeBkSQ36kT08+oYCLzvWewLVKT4OqHiPUrU5Sh42MGCLLkDLwpWUoPEJyo4RYOw6HuBFEbTKbcK5G6mTfztwJRDd+QVEBTKK72Q/YVtNmsWuhYyeGyE1G9A8SQ36kT08+oYC3O9fb1k2pd+Jy7GbcZFRnSBlEREpxIH2NGerNMgRIrrJQjxkC3Eqv31O5B2FGoX9fNwd029wJZMHKfkSspj04brBsu10LHbuYoRD6/IiAoJiYoVBAfPKZ98E8cOBkgdQh2TzUm53rTSb7Ynz1F4CRV9uPJcuQ8uA4QbA013rfMiRub6x27iYLtZghESdB1NWt1Ug3C8vtLh6JA+GyF6tpu6zDZuv+JjFE9BMSQ36G7SNkW2doXd660KwzBPTfTdauF4JBWeqrHI81UsyQIolNEMSQLyxDokjqbBOyDdVhoesmc0MM6bQ6xFg8YO0unr0C5bLvtYWOrZsslMQsERBIDAUAt558QgFvuskcxQc5c5ORZUiZiK6sjhbAbHa/iJ47liE2o6xdD8QlDWg32YyhM9DKcwB4h5YhDhwy4zKD12Vv6yYLlQriRMAgMRQgBkTzUG+6yRz1WapzI2aIxJByEPuT8bwgWLROrDy29MUyJI63E0MhdDN1wzKkVqmhNasB9NhZhhThsqdsMsLLUAA14TvYH6h+ptajtdF+G1mGQgtPCy/21TIkvrYohsLCPa6BFZS405LD1AO1qQcA0B0hFxZ2wcrBiK37m9xkRD8hyxDhO2RiyAeWIRJDoYWn6fV9tQyJry26bkPNqsC6yZxVoWbqD12TPRO7Fi5TlsuesskIL0NiiPAd/nCTOaqwS0UXlYmn/clYyxBbYNHZa4vtO8Sg/lC7kYr9ycwm553rGTHERcUqz2Vv6yajmCGin5CbjPAdvnKTqS0a3tDh+KZJdYaUicduMsvY6DhA7cSi4cpNFmouFpVKiIkC3LIMBUOT1j5D2WSElyExRPgOX7nJhoyWlh25yshNpkxYF5dtTSlXiGOdxQvZ7hPFUKi6yQApiFpfZ1+SAlC+GKI6Q4SXITFE+A5fucmGXyEtO8ooIzGkTDxxk/G8FAPkLF4IsEmtbxaOM4SwGBLjhgydjvuTKV0M2Qa8k5uM6Cckhgjf4Ss32fDLpeXeLEMUM6QcPAmgNnQC3Ub7421hY4namuXXSEiKoV4yyjoVLoZUKsldDpCbjOg3FEBN+A5fuMlUamDoWOtmc10lvq4olmfCUJ0hZeJJzBArmlxZhmyFVqi24hCxrTWky5bvV7plCBDihizlAUJS0BJ+hcQQ4Tu86SYTK1BrE4GUIdbNH+x+FfMr/mJdz4zLxH+6r8EocQOJIeXgiWWo1Y0aQzb7+NYm7D/9FaZY1s0RUaFnIu8tvT4UxFCEJrRdnYRfCbnfACKI8IWbLC4JSMm0bh7UJhdZVS1V+OLYNmkDiSHl4EnMkLuWIcZNduDkdix6/x7r+kdnP0dhWaF776cUWMuQo/T6Poohk9mE4opivHv0XRRXFMNkNnlhkv2EzSgLpQriREAgMUT4Dm+5ybqNQEersKxNhCkmHl2WKzfTIB/Kg0ckmzxDMUPKQeYmczObzF3LUEQkTJZCfVEGI6LN0q56UwfmfTAvtARRby05+iCGCssKkbU+C7M2z8KCwgWYtXkWstZnBfx88YwYKqk1wmR2kDVHEG5CYojwHd5yk7HB03FJ2HP+G5y3/A5mGh28LXOjI8tQ8GO1OpwohEkUr+5ahtypPm15j3qVEF+S0AOZGBIblRYUFQSHxcMbyJq1ei6GCssKMe+DebjQIk9UqGqpCqiALCqtxoU26UNcXPgTpq/diaLS6oDMh1A+JIYI3yETQ/1wk7FiSJuI6tZqXLCIoXgTENtj87asGKKii0GNrdXhEgRTX0ezmzc1d/qSAdhTuQeNKuHCSDDJxVCnSrAonm85jz2Ve/r6XwhOEnpxkxl6F0MmswlLipaAh73FRdwWCAFZVFqNR7YcQScvFdjsUmlQo+/CI1uOkCAiPILEEOE71GFSD6H+WIbYGkNxSdBpdbjAeL8G21iHIskypAgcWR2aLSkdppYG96wOblqGqlurra8dZwLiGAHdoZaPCwm84CbbU7nHziLEEggBaTLzWPnpcfAAujkp/6dLpbFKtpWfHieXGdFnSAwRvkUshtYfy5CNGJoxdAb0Wq11k62rjGKGgh9nVgdRsGjNwP/3+ZLerQ6yAOoEp8N0Wh2aGdGT3i0td6jk40ICbaJQiwfwWAy5Kwz9KSAPlDeiWi/UiDKopMKLXSrhoYsHUK3vwoHyRkeHE4RTSAwRvkUMovZWzJA2EWqVGtOvlrKB2CBqDhxZhhSAM6tDM1Pso6XpQu9WB5mbzLllaMbQGTBGSW5bHSOgO1TCdTMkbghmDJ3R69wVgUoFxCULyx6KIXeFoT8FZG2rVCzzs4QZln+noYcLczqOINyBxBDhW8S4IS+6yQDgypzbrJtYy1BmXCauSBwlbSDLUFDizJrQxFhvBvW4YXWQuckSnA5Tq9QYP1wSOhnMNdNp+RVcl7cOapWTRq9KRHSVeZhaP2PoDGTGZYID53B/IARkqlZ6uPnvtF/g6vHv4LHsZ1yOIwh3IDFE+BarZchbAdSWbtzJUq2hR7PmYGv+VuxauAvlS8qRpLb8uIeFO+9iTgQUZ9YE1jKU0OOG1YG1DLGp+Q4Ynnm1dZkVQ1GxSfjw7g+RPybf9XspDTGI2tApb78BuCWG1Co11uetBwA7QSSu+1tATspOhC4+0jqbxvB4gJPmxgHQxUdiUnai3+ZEhAYkhgjfwrrJHHXPdgeZZcjyI8cUXswwmDF//HzkZuUKP8zdFhM5WYWCFmdWB1YM/UyT0rvVQbQMhYX33laDsRxNjxluXX7jzrdDTwgBrqtQi2KI41y6kvPH5OPDuz/E4LjBsu2ZcZkBEZBqFYflc4R2PLb2KnF9+ZyxUKscW7MIwhnUjoPwLWx6vbHLs0qxrYwYEi1D8SnCDbCn275zvdiEk+KFghbR6jDvg3ngwFkDqdkg58dzFvZudRAtQzEJAMfBZDZhT+Ueea868TWYKtSxrXppLlFahCS2VajTs6R1UQxFxsgsK47IH5OPuaPmOj+vfiYvR4fX77saKz89bg2mBoD0+EgsnzMWeTkhEgRP+BUSQ4RvsW3J4UQMmcw8DpQ3ora1C6lawcxtfbqzKboIQAgQTcoALp2z71wvNmqlGkNBjWh1WFK0xBpMzVqGJieMcnIkg2gZ0g5CYVmh7LUAwYKxPm+9YMFg3WistTFU+1q5Sq9nxZAbqFVq5GblemdeXiAvR4ebxqY7/80giD5CYojwLXYtOex9+UWl1XZPeTr2KU+8cYVr5GIqOVMQQy0NcqFFliHFYGt1uPzECeDMSmFnq+uWHKbuHqjbBQvPRVMP5n0wzy5VX6yU/OHdHyLfWYB1KHatB9xzkym1SSsEl9mUEUmBngYRIlDMEOFbemnJIVaTZYUQAHk1WVEMxSXJTfpMEDXqq6RlI8UMKQnR6jB//HyMGz5d2uGic31RaTVuXvNv6/rRjvO9V0qOduIOGwiWIduMshAQQwThTUgMEb7FRed6tposAKh5kzXImq0my1vcZLw2SdY525ycIb0Y6yojy5BycaNzvbUdQ5Pk6moK73Y4FpAqJR9uOeN4QKiKIVlLDsYyZDZL30USQwQBgNxkhK9x0bmerSZ7WWcl3j21DPXhCcj/2cvoVEeCB9DU1AzOIm72t5zArM2zrMcvb4jHCnFFDKI29QBi1WISQ8pD1rm+2W43K6DjTG3W7U1u/JJVmdsd7whZMeTETcZ+D0kMEQQAsgwRvsaFm4ytEpvfuBMpPc0Y01mB61sOWrcP6mm1Ll/k5H03jvFSRtDxo8ew70wDTAbG3UZiSHmwliEHbjJWQKd0S/ub3UhsSkod4XiHJxmOSsBZALWbHesJYiChGDG0atUqTJ06FdHR0UhISHDrmEWLFoHjONnf5MmTfTtRQo4LNxlbJTbTKMU0jO6ssC7H90iCp8Hm6f88ExJ04NBRzH9zP255ebu0kWKGlAeT/u7IMiQK6GhTJ5ZV/Y91e4UmFg5ChgBIlZKnjbjB/pqIiJR6eIUabH8yNmaIxBBB2KGYXwGj0Yi77roLjzzySJ+Oy8vLQ3V1tfXv888/99EMCYe4cJOx1WQzjZes20d3lgOwVJONKLNub7QRQxcipOXUbuEYfbNkSSLLkAIJC5du0G3ybDKTmUd9qwHgeayt/H/4WVclAOBE5FB8Gf+wMMhGENlVSrbNKAtVFxkgCCGxLhdZhgjCJYqJGVq5Uki33bRpU5+O02g0SE9P98GMCLdw4SYTq8k+suUIBhulH+sxnRXWarI3DukBfhSWbS1DNRGACYAagM4oBFmH8z3W/XUGDolmnmqPKI3YQcINm7EMseUX/qvuE8xpEhq4tqqi8PDw5wBuMFKMEWgM3wgTV289LjMuE+vy1kmVkmMSgCZJeIe0GALAJ6SC09ehp7EWB880CLV4SAwRhB2KEUOeUlxcjNTUVCQkJGDmzJlYtWoVUlNTez+Q8A4u3GSAUDztjXvHIe2IVFgx01iLETE9+P0dk5B9+Cvr9oZw+bEmDqiOEBq1jumsx9zGXTgWJcWF7DzbgnVrd1JVWqURmyBkB1pihsTsMR7ANW2lWHZBco/9PusJlEcKrSJizFMRbbgWj/68G0OSjY4rJdtahkK1xhCE85aiD8MEAGHdnfjVG8VISEzA+lENmCQOIjFEEABCXAzdfPPNuOuuuzBs2DCUl5fjj3/8I66//nocPnwYGo3jeBKDwQCDwWBdb2lp8dd0Q5NI524ykZ+n2KdFf/mLJKhzdDD/KBVptHWTAcA3WuDeBiCS78H6ilfwXWyO9HZchLVe0ev3XU2CSCmIgsXQCVNXlzV7LKW7EX87uxbhELIFX0+bhy8TploPc6sdwwBxk4kC8jVItZWSevSo0kfize2lJIYIwoaAxgytWLHCLsDZ9u/QoUMev/4999yDW2+9FTk5OZgzZw6++OILnDx5Ep999pnTY9asWYP4+Hjr35AhQzx+fwJABOMm63IshnDpnN0mdcVRAICKqUJsJ4Z44NeXAe8ljbduurat1LpsVIXJ6hWZzB42iiX8C5Nef6Sswpo99nzl60jtEa6Hb7WX4+WM+63j/njrGHzz9PW9C17bzvYhKIbY8gMN4VJAemKPHjyAKDOTcUliiCAABNgytHjxYtx7770ux2RlZXnt/XQ6HYYNG4ZTp045HfPss89i6dKl1vWWlhYSRP2BvdkY7d1kAByKIZRbAoWYvmRhCWkAL8V7qPlkRJt+g2eGTcX+2F34y/m/I9YsvYeBEyKseQDV+i4cKG+k8v1KgLHe6OuFWLIIczdmtQgPRvVh8Xg86ymYOMn9lazVuBcbxmarASEphtjyA41h0v83yZKZSWKIIOwJqBhKTk5GcnKy396voaEB58+fh07n/OlRo9E4daERHuCGmwyXKuy3nbWIIaah5o5HD2NP2ylUt1bjfH0E/v5lODiowQP4V9IsfB8zCq9VvIjLO04DAC5GpMhekq1rRAQxjBhK4wRxm9NxGhpecKfujpuAhvAE2SFsmQZ3XxtASMYMsdd5VYQUHzlLfwi74q9BNIkhgrBDMTFDlZWVaGxsRGVlJUwmE0pKSgAAl112GWJjYwEAo0ePxpo1a3DHHXegra0NK1aswJ133gmdToeKigosW7YMycnJuOOOOwL4PxlguOMmq2UsQ+owoYp0xVGhbQAjhtTxKchNHmxdvzxF3uD1XGQG7vzZS7iv/nMk9LSiMPF62du4fcMkAkvsIOtiXdNORGtTMPGS5P48FDvWusxBiBWalG3fANghA8BNxl7n2+Mno10ViRhzF+5s/AovZ9yPKLMUE0liiCAEFCOG/vSnP2Hz5s3W9auuugoAsGvXLuTm5gIATpw4Ab1eMAWr1WocPXoUb7/9Npqbm6HT6TBr1iy8//770GqdNGwkvE9kH91kOTOAH3YBHa3CdtFNFq0FwiNkh+Xl6HDT2HTsP9OAx7YeQXNnN7pV4Xgrda5sXJ9vmERA+bG9Epdblv+xey3KUoBxHdJnfyhmDABYyy8snzPW/fIJdgHUoVd9WqzfVaPvQktYLD5KvAEP1H+GGHMX7mrYgRgTWYYIwhbFFF3ctGkTeJ63+xOFEADwPI9FixYBAKKiovDll1+itrYWRqMR586dw6ZNmyj+x9+4KLpoRXSTxSUBY6XsIJT/KFmGtI6FjFrFYdrIZLxw53hwkG6QIh7dMImAUVhWiPWl0kNPggkAD0xpE1qxNKsjcTpS+A6nx0f2PUtwAGSTifW7AOH635xym3Xfwrp/I4aJqyMxRBACihFDhELpzU1m6gHqq4Tl1GHA8MulfWd/kCxDWteBz3k5Orx+39VIj5e7wjy6YRIBwWQ2YUnRElnT1YQeYGQXkGqpvnBwEI9X7r0C7z40GbufnInI2BN49+i7KK4ohkls0OuKAeAmA+TfhzNRQ/C1VrCkDzVewj3dTIYuiSGCAKAgNxmhUHpzk9VXSV3m04YB2YwYOvattC+u9yww0W12oLwRta1dSNUKrjGyCCmDPZV7cKHlAkYyNRIH9QDTmFJfO2MM+Pmgs6jubMSI15bgQssF677MuEysz1svVZt2xACwDImw3wfuQAHw1kIAQFRztTSIxBBBACDLEOFrwjUAZxEjjtxkbCZZWhYw+DKpp1jpN9I+J24yW9QqDlNGJGHulYMxZUQSCSEFUd0q3KSbbSxDrBj6Vgt8/NPHmPfBPJkQAoCqlirM+2AeCssKnb/JAMgmYxG/D5PvuQ/IGGG3/1CNgepvEQRIDBG+huMkV5kjNxkbPJ02TMgmGzZOWGfFkxuWIULZ6LSCK1PmJjMB0y29d40ccDAWeOfoO+AdtKgXtxUUFTh3mQ0QN5kdKhUw93d2mx/YegzT1+5EUWm1g4MIYuBAYojwPeLTtyM3GSuGUocJ/7JxQyIkhkKeGUNnIDMuE3pGDF3WCYy2XDZHYgCtNgV1HXWOXwCCIDrfch57Kvc4HjCA3GSAEIdVXFGMd4++i3WRg9CmksfUdao01pY1JIiIgQyJIcL3iJah3txk6VnCv9kOxJCbbjJCuahVaqzPW48WJmZoItNgfW8c8MvLf+nWa4kuNzsiIuUlGkJYDBWWFSJrfRZmbZ6FBYUL8MSBhdjE9Kju5DTgORW1rCEIkBgi/IF4w3HQtV5WcFG0DDkSQ2QZGhDkj8nHB/d8hJYw+1ivqXlPYe6ouQ6Oskd0udnBceAZV9lPTT0hKQAKywodxlW9ppNqDHWopUr7bMsaghiIkBgifI/oJnNoGbKIoWit5MLIHm8/jixDA4b8MfnQJtrXA5v886VWVxpnV1FKgAOHIXFDMGPoDIf7i0qrUWmQLEPP/+dcyMXMiCUKHMVVnYwG3rJ0qfkq/hq7/dSyhhiokBgifA4vusl6urHv5CXpSdxsBuoqheW0LCnrLCEFSLR5sifL0ICCs43tybgMGJRmdaUBsBNE4vq6vHVQq9Swpai0Go9sOYImTqp9FYoxM2KJAmf8eiRw2dXA41nX2+2jljXEQIXEEOFTikqrcbBaetr89ZtfS0/iTTVAt1BZ2Oois8DbuMpMsWQZGlAw/ckAAOOmWRfzx+Tjw7s/xOC4wbIhmXGZ+PDuDx3WGTKZeaz89Dh4AC3qWOv2LpUm5GJmnMZLWTBzwJkowKRqtm7jAOioZQ0xgKGii4TPEJ/EN5rDrduizAbrk/i7082YLO5IGyY7rr42Hvcxr3XLW6V4Il9LlaQHCHxMgszuYx47Vfbklj8mH3NHzcWeyj2obq2GTqvDjKEzHFqEAOBAeaO1oS8rhjpVQtwMGzMzZYSyrZBO46VsUPOC4KSWNQRBliHCR7BP4l0qKUYj0mywPol//p/90gFpWQAkAXVIJcWMmMHhdHtYSLkyCOcUlVbj83J5sP0v94XZffZqlRq5WbmYP34+crNynQohQB4L89mgaTBBhaNRI1Ch0Tkdp1R6i6sCALU5GRqzUM+LWtYQBFmGCB/BPol3MLVNUnqacUGTDh5ATHOVdEDaMJmA+ikqy7pLr46FiVODg+DKuGlsOj3BhiiiGP6jSbpmmtRafNedgv1bjnh802ZjYb4YNB0TteOhV8eC51ROxykVMa5q3gfzwIGTBVKLAun53JcxdtAEallDEBbIMkT4BPYJ+8fokdblm5u+tS4PNtZKB6QOkwmoM5GZ6IbwpN8YFgeA0n9DHXlcj9Qz63DMaJgtosXTuJ5J2YnQxUdabSVNYfEwc5IlKdRiZnqLq3p21kJqWUMQDCSGCJ/APmF/PmiaVdjc3rQbKl5olZDJiqG0LJmA6laF463U22HkwrA1OU/22qHgyiDsYcWwPkyK6zkcOxZA/8SwWsVh+RzhdWxv/aEaM5M/Jh8VSyqwa+EubM3fil0Ld6F8SbnrRrYEMUAhMUT4BPZJvCksHrvjrgYApHc34tq2Y+AADOuxtFXQRAEJKXYuitWZDyLniv/Df6fdIdseCq4Mwh5W5O6MuwYtqmjo1TH4OHGm03F9IS9Hh9fvuxrp8fLrJ5RjZvoSV0UQAxmKGSJ8gvgk/siWI+AAfJyYixtbDgIA5jYWY3/seAwRxVDKUIDjrAKqRt9ljXIwqqRMNA7CjStUXBmEHFbknovMwJTxm9DDhcHABODbjusreTk63DQ2HQfKG1Hb2kUxMwRBACDLEOFD2Cfx/8Rfi3ZLIPUt+r34nzk6hImNWy09yQaiK4OQsI3raVdHy4SQt+J61CoOU0YkUcwMQRBWSAwRPiUvR4dvnr4e//NwLhqvvAUAENfThlmntkmDmIKLA9GVQQiQGCYIIlBwPM8rv+SqD2lpaUF8fDz0ej3i4uICPR1lc7AIeO5mYTkmHmjXC8v/tQqYv0w21GTmyZUxQCkqrcbKT49bg6kBwSK0fM5YEsMEQbhNX+7fFDNE+I+rbwTiUwB9nSSEAGvBRRbRlUEMPCiuhyAIf0NiiPAf6jAg9x7g4w2yzaaUoaAcF4KFxDBBEP6ExBDhV/YN+zmmQC6G7vjwAn6LC4jRnnarzxRBEARBeBMSQ4TfKCqtxiN7gOKIdAwz1gAAjFwYDhh/wOcf/g4mVb11bGZcJtbnracCcQRBEITPoWwywi9YWy1wnKyI3sWIWFzSvAATVy8bX9VShXkfzENhWaG/p0oQBEEMMEgMEX6BbbXwcWKudfupyHZhwSY2VmwuWVBUAJPZ5I8pEgRBEAMUEkOEX2BbKJyJHILX0u/BycgUvJDZbV9UxgIPHudbzmNP5R4/zZIgCIIYiJAYIvyCbQuFVzLux7Txi7Azofdjq1urfTMpgiAIggCJIcJP2LZaAAA1P8itY3VaKrRHEARB+A4SQ4RfcNRqQWMeB7U5GXBSA50DhyFxQzBj6Az/TJIgCIIYkJAYIvyGbd8xDmokdv/Goo7kgUOcZX1d3jqqN0QQBEH4FKozRPgV+1YLk1HVdTWe2F6ACy0XrOMy4zKxLm8d1RkiCIIgfA41au0FatTqH0xmE/ZU7qEK1ARBEIRX6Mv9WxFusoqKCjz44IPIzs5GVFQURowYgeXLl8NoNLo8jud5rFixAhkZGYiKikJubi6OHTvmp1kTfUGtUiM3Kxfzx89HblYuCSGCIAjCbyhCDP30008wm834xz/+gWPHjuGvf/0r3njjDSxbtszlcS+++CJeffVVbNiwAQcPHkR6ejpuuukmtLa2+mnmBEEQBEEEO4p1k7300kt4/fXXcfbsWYf7eZ5HRkYGCgoK8PTTTwMADAYD0tLSsHbtWvz2t791633ITUYQBEEQyiPk3GSO0Ov1SExMdLq/vLwcNTU1mD17tnWbRqPBzJkzsXfvXn9MkSAIgiAIBaDIbLIzZ87gtddewyuvvOJ0TE2N0BU9LS1Ntj0tLQ3nzp1zepzBYIDBYLCut7S09HO2BEEQBEEEMwG1DK1YsQIcx7n8O3TokOyYixcvIi8vD3fddRd+/etf9/oeHCevX8PzvN02ljVr1iA+Pt76N2TIEM/+cwRBEARBKIKAxgzV19ejvr7e5ZisrCxERgpF+i5evIhZs2bh2muvxaZNm6BSOddyZ8+exYgRI3DkyBFcddVV1u1z585FQkICNm/e7PA4R5ahIUOGUMwQQRAEQSiIvsQMBdRNlpycjOTkZLfGVlVVYdasWZgwYQLeeustl0IIALKzs5Geno4dO3ZYxZDRaMTu3buxdu1ap8dpNBpoNBr3/xMEQRAEQSgaRQRQX7x4Ebm5uRgyZAhefvll1NXVoaamxhoXJDJ69Ghs27YNgOAeKygowOrVq7Ft2zaUlpZi0aJFiI6OxoIFCwLx3yAIgiAIIghRRAD19u3bcfr0aZw+fRqZmZmyfayX78SJE9Dr9db1p556Cp2dnXj00UfR1NSEa6+9Ftu3b4dWq/Xb3AmCIAiCCG4UW2fIX+j1eiQkJOD8+fMUM0QQBEEQCkGM+W1ubkZ8fLzLsYqwDAUSsVo1ZZURBEEQhPJobW3tVQyRZagXzGYzLl68CK1W6zIl3xNE1UpWJ99C59k/0Hn2D3Se/QOdZ//gy/PM8zxaW1uRkZHRa9IVWYZ6QaVS2cUpeZu4uDj6svkBOs/+gc6zf6Dz7B/oPPsHX53n3ixCIorIJiMIgiAIgvAVJIYIgiAIghjQkBgKIBqNBsuXL6cijz6GzrN/oPPsH+g8+wc6z/4hWM4zBVATBEEQBDGgIcsQQRAEQRADGhJDBEEQBEEMaEgMEQRBEAQxoCExRBAEQRDEgIbEUID4+9//juzsbERGRmLChAnYs2dPoKcUUqxZswbXXHMNtFotUlNT8Ytf/AInTpwI9LRCnjVr1oDjOBQUFAR6KiFJVVUV7rvvPiQlJSE6OhpXXnklDh8+HOhphRQ9PT34wx/+gOzsbERFRWH48OH485//DLPZHOipKZqvv/4ac+bMQUZGBjiOw7/+9S/Zfp7nsWLFCmRkZCAqKgq5ubk4duyY3+ZHYigAvP/++ygoKMBzzz2H77//HjNmzMDNN9+MysrKQE8tZNi9ezcee+wx7N+/Hzt27EBPTw9mz56N9vb2QE8tZDl48CA2btyIyy+/PNBTCUmampowbdo0hIeH44svvsDx48fxyiuvICEhIdBTCynWrl2LN954Axs2bEBZWRlefPFFvPTSS3jttdcCPTVF097ejiuuuAIbNmxwuP/FF1/Eq6++ig0bNuDgwYNIT0/HTTfdZO0P6nN4wu9MmjSJf/jhh2XbRo8ezT/zzDMBmlHoU1tbywPgd+/eHeiphCStra38yJEj+R07dvAzZ87klyxZEugphRxPP/00P3369EBPI+S59dZb+V/96leybfn5+fx9990XoBmFHgD4bdu2WdfNZjOfnp7Ov/DCC9ZtXV1dfHx8PP/GG2/4ZU5kGfIzRqMRhw8fxuzZs2XbZ8+ejb179wZoVqGPXq8HACQmJgZ4JqHJY489hltvvRU33nhjoKcSsnzyySeYOHEi7rrrLqSmpuKqq67Cm2++GehphRzTp0/HV199hZMnTwIAfvjhB3zzzTe45ZZbAjyz0KW8vBw1NTWy+6JGo8HMmTP9dl+kRq1+pr6+HiaTCWlpabLtaWlpqKmpCdCsQhue57F06VJMnz4dOTk5gZ5OyPHee+/hyJEjOHjwYKCnEtKcPXsWr7/+OpYuXYply5bhwIEDePzxx6HRaPDAAw8Eenohw9NPPw29Xo/Ro0dDrVbDZDJh1apVmD9/fqCnFrKI9z5H98Vz5875ZQ4khgIEx3GydZ7n7bYR3mHx4sX48ccf8c033wR6KiHH+fPnsWTJEmzfvh2RkZGBnk5IYzabMXHiRKxevRoAcNVVV+HYsWN4/fXXSQx5kffffx9btmzB1q1bMW7cOJSUlKCgoAAZGRlYuHBhoKcX0gTyvkhiyM8kJydDrVbbWYFqa2vtVDHRf373u9/hk08+wddff43MzMxATyfkOHz4MGprazFhwgTrNpPJhK+//hobNmyAwWCAWq0O4AxDB51Oh7Fjx8q2jRkzBh999FGAZhSaPPnkk3jmmWdw7733AgDGjx+Pc+fOYc2aNSSGfER6ejoAwUKk0+ms2/15X6SYIT8TERGBCRMmYMeOHbLtO3bswNSpUwM0q9CD53ksXrwYhYWF2LlzJ7KzswM9pZDkhhtuwNGjR1FSUmL9mzhxIn75y1+ipKSEhJAXmTZtml15iJMnT2LYsGEBmlFo0tHRAZVKfmtUq9WUWu9DsrOzkZ6eLrsvGo1G7N6922/3RbIMBYClS5fi/vvvx8SJEzFlyhRs3LgRlZWVePjhhwM9tZDhsccew9atW/Hxxx9Dq9VaLXHx8fGIiooK8OxCB61WaxeHFRMTg6SkJIrP8jJPPPEEpk6ditWrV+Puu+/GgQMHsHHjRmzcuDHQUwsp5syZg1WrVmHo0KEYN24cvv/+e7z66qv41a9+FeipKZq2tjacPn3aul5eXo6SkhIkJiZi6NChKCgowOrVqzFy5EiMHDkSq1evRnR0NBYsWOCfCfolZ42w429/+xs/bNgwPiIigr/66qsp5dvLAHD499ZbbwV6aiEPpdb7jk8//ZTPycnhNRoNP3r0aH7jxo2BnlLI0dLSwi9ZsoQfOnQoHxkZyQ8fPpx/7rnneIPBEOipKZpdu3Y5/E1euHAhz/NCev3y5cv59PR0XqPR8Ndddx1/9OhRv82P43me94/sIgiCIAiCCD4oZoggCIIgiAENiSGCIAiCIAY0JIYIgiAIghjQkBgiCIIgCGJAQ2KIIAiCIIgBDYkhgiAIgiAGNCSGCIIgCIIY0JAYIggiZMnNzUVBQUGgp0EQRJBDYoggCAJAcXExOI5Dc3NzoKdCEISfITFEEARBEMSAhsQQQRAhQXt7Ox544AHExsZCp9PhlVdeke3fsmULJk6cCK1Wi/T0dCxYsAC1tbUAgIqKCsyaNQsAMGjQIHAch0WLFgEAioqKMH36dCQkJCApKQm33XYbzpw549f/G0EQvoXEEEEQIcGTTz6JXbt2Ydu2bdi+fTuKi4tx+PBh636j0Yjnn38eP/zwA/71r3+hvLzcKniGDBmCjz76CABw4sQJVFdXY/369QAEkbV06VIcPHgQX331FVQqFe644w6YzWa//x8JgvAN1KiVIAjF09bWhqSkJLz99tu45557AACNjY3IzMzEb37zG6xbt87umIMHD2LSpElobW1FbGwsiouLMWvWLDQ1NSEhIcHpe9XV1SE1NRVHjx5FTk6Oj/5HBEH4E7IMEQSheM6cOQOj0YgpU6ZYtyUmJmLUqFHW9e+//x5z587FsGHDoNVqkZubCwCorKzs9bUXLFiA4cOHIy4uDtnZ2W4dRxCEciAxRBCE4unNwN3e3o7Zs2cjNjYWW7ZswcGDB7Ft2zYAgvvMFXPmzEFDQwPefPNNfPfdd/juu+/cOo4gCOVAYoggCMVz2WWXITw8HPv377dua2pqwsmTJwEAP/30E+rr6/HCCy9gxowZGD16tDV4WiQiIgIAYDKZrNsaGhpQVlaGP/zhD7jhhhswZswYNDU1+eF/RBCEPyExRBCE4omNjcWDDz6IJ598El999RVKS0uxaNEiqFTCT9zQoUMRERGB1157DWfPnsUnn3yC559/XvYaw4YNA8dx+Pe//426ujq0tbVh0KBBSEpKwsaNG3H69Gns3LkTS5cuDcR/kSAIH0JiiCCIkOCll17Cddddh9tvvx033ngjpk+fjgkTJgAAUlJSsGnTJvzf//0fxo4dixdeeAEvv/yy7PjBgwdj5cqVeOaZZ5CWlobFixdDpVLhvffew+HDh5GTk4MnnngCL730UiD+ewRB+BDKJiMIgiAIYkBDliGCIAiCIAY0JIYIgiAIghjQkBgiCIIgCGJAQ2KIIAiCIIgBDYkhgiAIgiAGNCSGCIIgCIIY0JAYIgiCIAhiQENiiCAIgiCIAQ2JIYIgCIIgBjQkhgiCIAiCGNCQGCIIgiAIYkBDYoggCIIgiAHN/w9MDMz9rkyRuwAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn import linear_model\n",
    "\n",
    "\n",
    "\n",
    "# Fit regression model\n",
    "model1 = DecisionTreeRegressor(max_depth=10)\n",
    "\n",
    "x = x.reshape((-1, 1))\n",
    "model1.fit(x, y)\n",
    "\n",
    "X_test = x_test.reshape((-1, 1))\n",
    "\n",
    "# Predict\n",
    "y_1 = model1.predict(X_test)\n",
    "\n",
    "mse = 0\n",
    "for i in range(X_test.shape[0]):\n",
    "    mse += (y_test[i]-y_1[i]) ** 2\n",
    "mse /= len(x_test)\n",
    "print(mse)\n",
    "# Plot the results\n",
    "plt.figure()\n",
    "plt.scatter(x, y, label=\"training_data\")\n",
    "plt.scatter(x_test, y_test,color=\"green\", label=\"test_data\")\n",
    "plt.plot(X_test, y_1, color=\"orangered\", label=\"max_depth=10\", linewidth=2)\n",
    "plt.xlabel(\"data\")\n",
    "plt.ylabel(\"target\")\n",
    "plt.title(\"Decision Tree Regression\")\n",
    "plt.legend()\n",
    "plt.savefig(\"Decision Tree.png\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-01T09:46:21.397184900Z",
     "start_time": "2024-04-01T09:46:21.251418100Z"
    }
   },
   "id": "c9bc287a4bba0d2"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
